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<h1 class="mume-header" id="cmd-markdown-%E5%85%AC%E5%BC%8F%E6%8C%87%E5%AF%BC%E6%89%8B%E5%86%8C">Cmd Markdown 公式指导手册</h1>

<p>标签： Tutorial</p>
<blockquote>
<p>2018-03-20 补档：<br>
收到很多小伙伴对本文的源文档转载需求，故传了一份 md 文件，请按需 <a href="http://file.ericp.cn/work/mathjax_cmdeditor.md">下载</a> 。<br>
本文固定链接: <a href="https://www.zybuluo.com/codeep/note/163962">https://www.zybuluo.com/codeep/note/163962</a></p>
</blockquote>
<hr>
<blockquote>
<p>点击跳转至 <a href="https://www.zybuluo.com/mdeditor?url=https://www.zybuluo.com/static/editor/md-help.markdown">Cmd Markdown 简明语法手册</a> ，立刻开始 Cmd Markdown 编辑阅读器的记录和写作之旅！</p>
</blockquote>
<hr>
<blockquote>
<p>本文为 MathJax 在 Cmd Markdown 环境下的语法指引。</p>
</blockquote>
<blockquote>
<p>Cmd Markdown 编辑阅读器支持 <span class="katex"><span class="katex-mathml"><math><semantics><mrow><mrow><mtext>L</mtext><mspace width="-0.36em"></mspace><mpadded voffset="0.20499900000000004em"><mrow><mstyle mathsize="0.7em"><mtext>A</mtext></mstyle></mrow></mpadded><mspace width="-0.15em"></mspace><mrow><mtext>TX</mtext><mspace width="-0.1667em"></mspace><mpadded voffset="-0.5ex"><mrow><mtext>E</mtext></mrow></mpadded><mspace width="-0.125em"></mspace></mrow></mrow></mrow><annotation encoding="application/x-tex">\LaTeX</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.68333em;"></span><span class="strut bottom" style="height:0.89883em;vertical-align:-0.2155em;"></span><span class="base"><span class="mord text"><span class="mord textrm">L</span><span class="mord rule" style="margin-right:-0.36em;"></span><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.68333em;"><span style="top:-2.904999em;"><span class="pstrut" style="height:2.7em;"></span><span class="mord text"><span class="mord textrm sizing reset-size6 size3">A</span></span></span></span></span></span><span class="mord rule" style="margin-right:-0.15em;"></span><span class="mord text"><span class="mord textrm">T</span><span class="mord rule" style="margin-right:-0.1667em;"></span><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.46782999999999997em;"><span style="top:-2.7845em;"><span class="pstrut" style="height:3em;"></span><span class="mord text"><span class="mord textrm">E</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.2155em;"></span></span></span><span class="mord rule" style="margin-right:-0.125em;"></span><span class="mord textrm">X</span></span></span></span></span></span> 编辑显示支持，例如：<span class="katex"><span class="katex-mathml"><math><semantics><mrow><msubsup><mo>∑</mo><mrow><mi>i</mi><mo>=</mo><mn>1</mn></mrow><mi>n</mi></msubsup><msub><mi>a</mi><mi>i</mi></msub><mo>=</mo><mn>0</mn></mrow><annotation encoding="application/x-tex">\sum_{i=1}^n a_i=0</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.804292em;"></span><span class="strut bottom" style="height:1.104002em;vertical-align:-0.29971000000000003em;"></span><span class="base"><span class="mop"><span class="mop op-symbol small-op" style="position:relative;top:-0.0000050000000000050004em;">∑</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.804292em;"><span style="top:-2.40029em;margin-left:0em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mathit mtight">i</span><span class="mrel mtight">=</span><span class="mord mtight">1</span></span></span></span><span style="top:-3.2029em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mathit mtight">n</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.29971000000000003em;"></span></span></span></span></span><span class="mord rule" style="margin-right:0.16666666666666666em;"></span><span class="mord"><span class="mord mathit">a</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.31166399999999994em;"><span style="top:-2.5500000000000003em;margin-left:0em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mathit mtight">i</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"></span></span></span></span></span><span class="mord rule" style="margin-right:0.2777777777777778em;"></span><span class="mrel">=</span><span class="mord rule" style="margin-right:0.2777777777777778em;"></span><span class="mord">0</span></span></span></span>，访问 <a href="http://meta.math.stackexchange.com/questions/5020/mathjax-basic-tutorial-and-quick-reference">MathJax</a> 以参考更多使用方法。</p>
</blockquote>
<blockquote>
<p>右键点击每一个公式，选择 <strong>[Show Math As] → [TeX Commands]</strong> 以查看该公式的命令详情。</p>
</blockquote>
<hr>
<h1 class="mume-header" id="%E4%B8%80-%E5%85%AC%E5%BC%8F%E4%BD%BF%E7%94%A8%E5%8F%82%E8%80%83">一、公式使用参考</h1>

<h2 class="mume-header" id="1%E5%A6%82%E4%BD%95%E6%8F%92%E5%85%A5%E5%85%AC%E5%BC%8F">1．如何插入公式</h2>

<p><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mrow><mtext>L</mtext><mspace width="-0.36em"></mspace><mpadded voffset="0.20499900000000004em"><mrow><mstyle mathsize="0.7em"><mtext>A</mtext></mstyle></mrow></mpadded><mspace width="-0.15em"></mspace><mrow><mtext>TX</mtext><mspace width="-0.1667em"></mspace><mpadded voffset="-0.5ex"><mrow><mtext>E</mtext></mrow></mpadded><mspace width="-0.125em"></mspace></mrow></mrow></mrow><annotation encoding="application/x-tex">\LaTeX</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.68333em;"></span><span class="strut bottom" style="height:0.89883em;vertical-align:-0.2155em;"></span><span class="base"><span class="mord text"><span class="mord textrm">L</span><span class="mord rule" style="margin-right:-0.36em;"></span><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.68333em;"><span style="top:-2.904999em;"><span class="pstrut" style="height:2.7em;"></span><span class="mord text"><span class="mord textrm sizing reset-size6 size3">A</span></span></span></span></span></span><span class="mord rule" style="margin-right:-0.15em;"></span><span class="mord text"><span class="mord textrm">T</span><span class="mord rule" style="margin-right:-0.1667em;"></span><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.46782999999999997em;"><span style="top:-2.7845em;"><span class="pstrut" style="height:3em;"></span><span class="mord text"><span class="mord textrm">E</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.2155em;"></span></span></span><span class="mord rule" style="margin-right:-0.125em;"></span><span class="mord textrm">X</span></span></span></span></span></span> 的数学公式有两种：行中公式和独立公式。行中公式放在文中与其它文字混编，独立公式单独成行。</p>
<dl>
<dt>行中公式可以用如下方法表示：</dt>
<dd>
<pre class="language-text">   $ 数学公式 $
</pre>
</dd>
<dt>独立公式可以用如下方法表示：</dt>
<dd>
<pre class="language-text">   $$ 数学公式 $$
</pre>
</dd>
<dt>自动编号的公式可以用如下方法表示：</dt>
<dd>
<p>若需要手动编号，参见 <a href="#14%E5%A4%A7%E6%8B%AC%E5%8F%B7%E5%92%8C%E8%A1%8C%E6%A0%87%E7%9A%84%E4%BD%BF%E7%94%A8">大括号和行标的使用</a> 。</p>
</dd>
<dd>
<pre class="language-text">  &#x5C;begin{equation}
</pre>
</dd>
</dl>
<p>数学公式<br>
\label{eq:当前公式名}<br>
\end{equation}</p>
<p><strong>自动编号后的公式可在全文任意处使用 <code>\eqref{eq:公式名}</code> 语句引用。</strong></p>
<ul>
<li>例子：</li>
</ul>
<pre data-role="codeBlock" data-info="" class="language-"><code>$ J_\alpha(x) = \sum_{m=0}^\infty \frac{(-1)^m}{m! \Gamma (m + \alpha + 1)} {\left({ \frac{x}{2} }\right)}^{2m + \alpha} \text {&#xFF0C;&#x884C;&#x5185;&#x516C;&#x5F0F;&#x793A;&#x4F8B;} $
</code></pre><ul>
<li>
<p>显示：<span class="katex"><span class="katex-mathml"><math><semantics><mrow><msub><mi>J</mi><mi>α</mi></msub><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><msubsup><mo>∑</mo><mrow><mi>m</mi><mo>=</mo><mn>0</mn></mrow><mi mathvariant="normal">∞</mi></msubsup><mfrac><mrow><mo>(</mo><mo>−</mo><mn>1</mn><msup><mo>)</mo><mi>m</mi></msup></mrow><mrow><mi>m</mi><mo>!</mo><mi mathvariant="normal">Γ</mi><mo>(</mo><mi>m</mi><mo>+</mo><mi>α</mi><mo>+</mo><mn>1</mn><mo>)</mo></mrow></mfrac><msup><mrow><mo fence="true">(</mo><mrow><mfrac><mrow><mi>x</mi></mrow><mrow><mn>2</mn></mrow></mfrac></mrow><mo fence="true">)</mo></mrow><mrow><mn>2</mn><mi>m</mi><mo>+</mo><mi>α</mi></mrow></msup><mtext>，行内公式示例</mtext></mrow><annotation encoding="application/x-tex">J_\alpha(x) = \sum_{m=0}^\infty \frac{(-1)^m}{m! \Gamma (m + \alpha + 1)} {\left({ \frac{x}{2} }\right)}^{2m + \alpha} \text {，行内公式示例}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:1.054008em;"></span><span class="strut bottom" style="height:1.574008em;vertical-align:-0.52em;"></span><span class="base"><span class="mord"><span class="mord mathit" style="margin-right:0.09618em;">J</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.151392em;"><span style="top:-2.5500000000000003em;margin-left:-0.09618em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mathit mtight" style="margin-right:0.0037em;">α</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"></span></span></span></span></span><span class="mopen">(</span><span class="mord mathit">x</span><span class="mclose">)</span><span class="mord rule" style="margin-right:0.2777777777777778em;"></span><span class="mrel">=</span><span class="mord rule" style="margin-right:0.2777777777777778em;"></span><span class="mop"><span class="mop op-symbol small-op" style="position:relative;top:-0.0000050000000000050004em;">∑</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.804292em;"><span style="top:-2.40029em;margin-left:0em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mathit mtight">m</span><span class="mrel mtight">=</span><span class="mord mtight">0</span></span></span></span><span style="top:-3.2029em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">∞</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.29971000000000003em;"></span></span></span></span></span><span class="mord rule" style="margin-right:0.16666666666666666em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.01em;"><span style="top:-2.655em;"><span class="pstrut" style="height:3em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mathit mtight">m</span><span class="mclose mtight">!</span><span class="mord mtight">Γ</span><span class="mopen mtight">(</span><span class="mord mathit mtight">m</span><span class="mbin mtight">+</span><span class="mord mathit mtight" style="margin-right:0.0037em;">α</span><span class="mbin mtight">+</span><span class="mord mtight">1</span><span class="mclose mtight">)</span></span></span></span><span style="top:-3.15em;"><span class="pstrut" style="height:3em;"></span><span class="stretchy" style="height:0.2em;"><svg width="400em" height="0.2em" viewBox="0 0 400000 200" preserveAspectRatio="xMinYMin slice"><path d="M0 80H400000 v40H0z M0 80H400000 v40H0z"></path></svg></span></span><span style="top:-3.485em;"><span class="pstrut" style="height:3em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mopen mtight">(</span><span class="mord mtight">−</span><span class="mord mtight">1</span><span class="mclose mtight"><span class="mclose mtight">)</span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.7385428571428572em;"><span style="top:-2.931em;margin-right:0.07142857142857144em;"><span class="pstrut" style="height:2.5em;"></span><span class="sizing reset-size3 size1 mtight"><span class="mord mathit mtight">m</span></span></span></span></span></span></span></span></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.52em;"></span></span></span></span><span class="mclose nulldelimiter"></span></span><span class="mord"><span class="mord"><span class="minner"><span class="mopen delimcenter" style="top:0em;"><span class="delimsizing size1">(</span></span><span class="mord"><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.695392em;"><span style="top:-2.6550000000000002em;"><span class="pstrut" style="height:3em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight">2</span></span></span></span><span style="top:-3.15em;"><span class="pstrut" style="height:3em;"></span><span class="stretchy" style="height:0.2em;"><svg width="400em" height="0.2em" viewBox="0 0 400000 200" preserveAspectRatio="xMinYMin slice"><path d="M0 80H400000 v40H0z M0 80H400000 v40H0z"></path></svg></span></span><span style="top:-3.394em;"><span class="pstrut" style="height:3em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mathit mtight">x</span></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.345em;"></span></span></span></span><span class="mclose nulldelimiter"></span></span></span><span class="mclose delimcenter" style="top:0em;"><span class="delimsizing size1">)</span></span></span></span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:1.054008em;"><span style="top:-3.3029em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight">2</span><span class="mord mathit mtight">m</span><span class="mbin mtight">+</span><span class="mord mathit mtight" style="margin-right:0.0037em;">α</span></span></span></span></span></span></span></span></span><span class="mord text"><span class="mord cjk_fallback">，行内公式示例</span></span></span></span></span></p>
</li>
<li>
<p>例子：</p>
</li>
</ul>
<pre data-role="codeBlock" data-info="" class="language-"><code>$$ J_\alpha(x) = \sum_{m=0}^\infty \frac{(-1)^m}{m! \Gamma (m + \alpha + 1)} {\left({ \frac{x}{2} }\right)}^{2m + \alpha} \text {&#xFF0C;&#x72EC;&#x7ACB;&#x516C;&#x5F0F;&#x793A;&#x4F8B;} $$
</code></pre><ul>
<li>
<p>显示：<span class="katex-display"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><msub><mi>J</mi><mi>α</mi></msub><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><munderover><mo>∑</mo><mrow><mi>m</mi><mo>=</mo><mn>0</mn></mrow><mi mathvariant="normal">∞</mi></munderover><mfrac><mrow><mo>(</mo><mo>−</mo><mn>1</mn><msup><mo>)</mo><mi>m</mi></msup></mrow><mrow><mi>m</mi><mo>!</mo><mi mathvariant="normal">Γ</mi><mo>(</mo><mi>m</mi><mo>+</mo><mi>α</mi><mo>+</mo><mn>1</mn><mo>)</mo></mrow></mfrac><msup><mrow><mo fence="true">(</mo><mrow><mfrac><mrow><mi>x</mi></mrow><mrow><mn>2</mn></mrow></mfrac></mrow><mo fence="true">)</mo></mrow><mrow><mn>2</mn><mi>m</mi><mo>+</mo><mi>α</mi></mrow></msup><mtext>，独立公式示例</mtext></mrow><annotation encoding="application/x-tex">J_\alpha(x) = \sum_{m=0}^\infty \frac{(-1)^m}{m! \Gamma (m + \alpha + 1)} {\left({ \frac{x}{2} }\right)}^{2m + \alpha} \text {，独立公式示例}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:1.6513970000000002em;"></span><span class="strut bottom" style="height:2.9185100000000004em;vertical-align:-1.267113em;"></span><span class="base"><span class="mord"><span class="mord mathit" style="margin-right:0.09618em;">J</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.151392em;"><span style="top:-2.5500000000000003em;margin-left:-0.09618em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mathit mtight" style="margin-right:0.0037em;">α</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"></span></span></span></span></span><span class="mopen">(</span><span class="mord mathit">x</span><span class="mclose">)</span><span class="mord rule" style="margin-right:0.2777777777777778em;"></span><span class="mrel">=</span><span class="mord rule" style="margin-right:0.2777777777777778em;"></span><span class="mop op-limits"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.6513970000000002em;"><span style="top:-1.882887em;margin-left:0em;"><span class="pstrut" style="height:3.05em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mathit mtight">m</span><span class="mrel mtight">=</span><span class="mord mtight">0</span></span></span></span><span style="top:-3.050005em;"><span class="pstrut" style="height:3.05em;"></span><span><span class="mop op-symbol large-op">∑</span></span></span><span style="top:-4.3000050000000005em;margin-left:0em;"><span class="pstrut" style="height:3.05em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">∞</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:1.267113em;"></span></span></span></span><span class="mord rule" style="margin-right:0.16666666666666666em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.427em;"><span style="top:-2.314em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord mathit">m</span><span class="mclose">!</span><span class="mord">Γ</span><span class="mopen">(</span><span class="mord mathit">m</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mbin">+</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mord mathit" style="margin-right:0.0037em;">α</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mbin">+</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mord">1</span><span class="mclose">)</span></span></span><span style="top:-3.15em;"><span class="pstrut" style="height:3em;"></span><span class="stretchy" style="height:0.2em;"><svg width="400em" height="0.2em" viewBox="0 0 400000 200" preserveAspectRatio="xMinYMin slice"><path d="M0 80H400000 v40H0z M0 80H400000 v40H0z"></path></svg></span></span><span style="top:-3.677em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mopen">(</span><span class="mord">−</span><span class="mord">1</span><span class="mclose"><span class="mclose">)</span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.664392em;"><span style="top:-3.063em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mathit mtight">m</span></span></span></span></span></span></span></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.936em;"></span></span></span></span><span class="mclose nulldelimiter"></span></span><span class="mord"><span class="mord"><span class="minner"><span class="mopen delimcenter" style="top:0em;"><span class="delimsizing size2">(</span></span><span class="mord"><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.10756em;"><span style="top:-2.314em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord">2</span></span></span><span style="top:-3.15em;"><span class="pstrut" style="height:3em;"></span><span class="stretchy" style="height:0.2em;"><svg width="400em" height="0.2em" viewBox="0 0 400000 200" preserveAspectRatio="xMinYMin slice"><path d="M0 80H400000 v40H0z M0 80H400000 v40H0z"></path></svg></span></span><span style="top:-3.677em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord mathit">x</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.686em;"></span></span></span></span><span class="mclose nulldelimiter"></span></span></span><span class="mclose delimcenter" style="top:0em;"><span class="delimsizing size2">)</span></span></span></span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:1.3540079999999999em;"><span style="top:-3.6029em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight">2</span><span class="mord mathit mtight">m</span><span class="mbin mtight">+</span><span class="mord mathit mtight" style="margin-right:0.0037em;">α</span></span></span></span></span></span></span></span></span><span class="mord text"><span class="mord cjk_fallback">，独立公式示例</span></span></span></span></span></span></p>
</li>
<li>
<p>例子：</p>
</li>
</ul>
<pre data-role="codeBlock" data-info="" class="language-"><code>&#x5728;&#x516C;&#x5F0F; \eqref{eq:sample} &#x4E2D;&#xFF0C;&#x6211;&#x4EEC;&#x770B;&#x5230;&#x4E86;&#x8FD9;&#x4E2A;&#x88AB;&#x81EA;&#x52A8;&#x7F16;&#x53F7;&#x7684;&#x516C;&#x5F0F;&#x3002;

\begin{equation}
E=mc^2 \text{&#xFF0C;&#x81EA;&#x52A8;&#x7F16;&#x53F7;&#x516C;&#x5F0F;&#x793A;&#x4F8B;}
\label{eq:Sample}
\end{equation}
</code></pre><ul>
<li>显示：</li>
</ul>
<p><span style="color: #ee7f49; font-weight: 500;">ParseError: KaTeX parse error: Expected 'EOF', got '在' at position 1: 在̲公式 \eqref{eq:sa…</span></p>
<p>\begin{equation}<br>
E=mc^2 \text{，自动编号公式示例}<br>
\label{eq:sample}<br>
\end{equation}</p>
<h2 class="mume-header" id="2%E5%A6%82%E4%BD%95%E8%BE%93%E5%85%A5%E4%B8%8A%E4%B8%8B%E6%A0%87">2．如何输入上下标</h2>

<p><code>^</code> 表示上标, <code>_</code> 表示下标。如果上下标的内容多于一个字符，需要用 <code>{}</code> 将这些内容括成一个整体。上下标可以嵌套，也可以同时使用。</p>
<ul>
<li>例子：</li>
</ul>
<pre data-role="codeBlock" data-info="" class="language-"><code>$$ x^{y^z}=(1+{\rm e}^x)^{-2xy^w} $$
</code></pre><ul>
<li>显示：<span class="katex-display"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><msup><mi>x</mi><msup><mi>y</mi><mi>z</mi></msup></msup><mo>=</mo><mo>(</mo><mn>1</mn><mo>+</mo><msup><mrow><mi mathvariant="normal">e</mi></mrow><mi>x</mi></msup><msup><mo>)</mo><mrow><mo>−</mo><mn>2</mn><mi>x</mi><msup><mi>y</mi><mi>w</mi></msup></mrow></msup></mrow><annotation encoding="application/x-tex">x^{y^z}=(1+{\rm e}^x)^{-2xy^w}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.92998em;"></span><span class="strut bottom" style="height:1.17998em;vertical-align:-0.25em;"></span><span class="base"><span class="mord"><span class="mord mathit">x</span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.92998em;"><span style="top:-3.1130000000000004em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight"><span class="mord mathit mtight" style="margin-right:0.03588em;">y</span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.7385428571428572em;"><span style="top:-2.931em;margin-right:0.07142857142857144em;"><span class="pstrut" style="height:2.5em;"></span><span class="sizing reset-size3 size1 mtight"><span class="mord mathit mtight" style="margin-right:0.04398em;">z</span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span><span class="mord rule" style="margin-right:0.2777777777777778em;"></span><span class="mrel">=</span><span class="mord rule" style="margin-right:0.2777777777777778em;"></span><span class="mopen">(</span><span class="mord">1</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mbin">+</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mord"><span class="mord"><span class="mord"><span class="mord mathrm">e</span></span></span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.7143919999999999em;"><span style="top:-3.113em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mathit mtight">x</span></span></span></span></span></span></span></span><span class="mclose"><span class="mclose">)</span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.92998em;"><span style="top:-3.1130000000000004em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight">−</span><span class="mord mtight">2</span><span class="mord mathit mtight">x</span><span class="mord mtight"><span class="mord mathit mtight" style="margin-right:0.03588em;">y</span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.7385428571428572em;"><span style="top:-2.931em;margin-right:0.07142857142857144em;"><span class="pstrut" style="height:2.5em;"></span><span class="sizing reset-size3 size1 mtight"><span class="mord mathit mtight" style="margin-right:0.02691em;">w</span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></li>
</ul>
<p>另外，如果要在左右两边都有上下标，可以用 <code>\sideset</code> 命令。</p>
<ul>
<li>例子：</li>
</ul>
<pre data-role="codeBlock" data-info="" class="language-"><code>$$ \sideset{^1_2}{^3_4}\bigotimes $$
</code></pre><ul>
<li>显示：<span style="color: #ee7f49; font-weight: 500;">ParseError: KaTeX parse error: Expected 'EOF', got '\sideset' at position 1: \̲s̲i̲d̲e̲s̲e̲t̲{^1_2}{^3_4}\bi…</span></li>
</ul>
<h2 class="mume-header" id="3%E5%A6%82%E4%BD%95%E8%BE%93%E5%85%A5%E6%8B%AC%E5%8F%B7%E5%92%8C%E5%88%86%E9%9A%94%E7%AC%A6">3．如何输入括号和分隔符</h2>

<p><code>()</code>、<code>[]</code> 和 <code>|</code> 表示符号本身，使用 <code>\{\}</code> 来表示 <code>{}</code> 。当要显示大号的括号或分隔符时，要用 <code>\left</code> 和 <code>\right</code> 命令。</p>
<p>一些特殊的括号：</p>
<table>
<thead>
<tr>
<th style="text-align:center">输入</th>
<th style="text-align:center">显示</th>
<th style="text-align:center">输入</th>
<th style="text-align:center">显示</th>
</tr>
</thead>
<tbody>
<tr>
<td style="text-align:center">\langle</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mo>⟨</mo></mrow><annotation encoding="application/x-tex">\langle</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.75em;"></span><span class="strut bottom" style="height:1em;vertical-align:-0.25em;"></span><span class="base"><span class="mopen">⟨</span></span></span></span></td>
<td style="text-align:center">\rangle</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mo>⟩</mo></mrow><annotation encoding="application/x-tex">\rangle</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.75em;"></span><span class="strut bottom" style="height:1em;vertical-align:-0.25em;"></span><span class="base"><span class="mclose">⟩</span></span></span></span></td>
</tr>
<tr>
<td style="text-align:center">\lceil</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mo>⌈</mo></mrow><annotation encoding="application/x-tex">\lceil</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.75em;"></span><span class="strut bottom" style="height:1em;vertical-align:-0.25em;"></span><span class="base"><span class="mopen">⌈</span></span></span></span></td>
<td style="text-align:center">\rceil</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mo>⌉</mo></mrow><annotation encoding="application/x-tex">\rceil</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.75em;"></span><span class="strut bottom" style="height:1em;vertical-align:-0.25em;"></span><span class="base"><span class="mclose">⌉</span></span></span></span></td>
</tr>
<tr>
<td style="text-align:center">\lfloor</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mo>⌊</mo></mrow><annotation encoding="application/x-tex">\lfloor</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.75em;"></span><span class="strut bottom" style="height:1em;vertical-align:-0.25em;"></span><span class="base"><span class="mopen">⌊</span></span></span></span></td>
<td style="text-align:center">\rfloor</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mo>⌋</mo></mrow><annotation encoding="application/x-tex">\rfloor</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.75em;"></span><span class="strut bottom" style="height:1em;vertical-align:-0.25em;"></span><span class="base"><span class="mclose">⌋</span></span></span></span></td>
</tr>
<tr>
<td style="text-align:center">\lbrace</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mo>{</mo></mrow><annotation encoding="application/x-tex">\lbrace</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.75em;"></span><span class="strut bottom" style="height:1em;vertical-align:-0.25em;"></span><span class="base"><span class="mopen">{</span></span></span></span></td>
<td style="text-align:center">\rbrace</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mo>}</mo></mrow><annotation encoding="application/x-tex">\rbrace</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.75em;"></span><span class="strut bottom" style="height:1em;vertical-align:-0.25em;"></span><span class="base"><span class="mclose">}</span></span></span></span></td>
</tr>
</tbody>
</table>
<ul>
<li>例子：</li>
</ul>
<pre data-role="codeBlock" data-info="" class="language-"><code>$$ f(x,y,z) = 3y^2z \left( 3+\frac{7x+5}{1+y^2} \right) $$
</code></pre><ul>
<li>显示：<span class="katex-display"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi>f</mi><mo>(</mo><mi>x</mi><mo separator="true">,</mo><mi>y</mi><mo separator="true">,</mo><mi>z</mi><mo>)</mo><mo>=</mo><mn>3</mn><msup><mi>y</mi><mn>2</mn></msup><mi>z</mi><mrow><mo fence="true">(</mo><mn>3</mn><mo>+</mo><mfrac><mrow><mn>7</mn><mi>x</mi><mo>+</mo><mn>5</mn></mrow><mrow><mn>1</mn><mo>+</mo><msup><mi>y</mi><mn>2</mn></msup></mrow></mfrac><mo fence="true">)</mo></mrow></mrow><annotation encoding="application/x-tex">f(x,y,z) = 3y^2z \left( 3+\frac{7x+5}{1+y^2} \right)</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:1.45em;"></span><span class="strut bottom" style="height:2.40003em;vertical-align:-0.95003em;"></span><span class="base"><span class="mord mathit" style="margin-right:0.10764em;">f</span><span class="mopen">(</span><span class="mord mathit">x</span><span class="mpunct">,</span><span class="mord rule" style="margin-right:0.16666666666666666em;"></span><span class="mord mathit" style="margin-right:0.03588em;">y</span><span class="mpunct">,</span><span class="mord rule" style="margin-right:0.16666666666666666em;"></span><span class="mord mathit" style="margin-right:0.04398em;">z</span><span class="mclose">)</span><span class="mord rule" style="margin-right:0.2777777777777778em;"></span><span class="mrel">=</span><span class="mord rule" style="margin-right:0.2777777777777778em;"></span><span class="mord">3</span><span class="mord"><span class="mord mathit" style="margin-right:0.03588em;">y</span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.8641079999999999em;"><span style="top:-3.113em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">2</span></span></span></span></span></span></span></span><span class="mord mathit" style="margin-right:0.04398em;">z</span><span class="mord rule" style="margin-right:0.16666666666666666em;"></span><span class="minner"><span class="mopen delimcenter" style="top:0em;"><span class="delimsizing size3">(</span></span><span class="mord">3</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mbin">+</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.32144em;"><span style="top:-2.314em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord">1</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mbin">+</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mord"><span class="mord mathit" style="margin-right:0.03588em;">y</span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.740108em;"><span style="top:-2.9890000000000003em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">2</span></span></span></span></span></span></span></span></span></span><span style="top:-3.15em;"><span class="pstrut" style="height:3em;"></span><span class="stretchy" style="height:0.2em;"><svg width="400em" height="0.2em" viewBox="0 0 400000 200" preserveAspectRatio="xMinYMin slice"><path d="M0 80H400000 v40H0z M0 80H400000 v40H0z"></path></svg></span></span><span style="top:-3.677em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord">7</span><span class="mord mathit">x</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mbin">+</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mord">5</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.8804400000000001em;"></span></span></span></span><span class="mclose nulldelimiter"></span></span><span class="mclose delimcenter" style="top:0em;"><span class="delimsizing size3">)</span></span></span></span></span></span></span></li>
</ul>
<p>有时候要用 <code>\left.</code> 或 <code>\right.</code> 进行匹配而不显示本身。</p>
<ul>
<li>例子：</li>
</ul>
<pre data-role="codeBlock" data-info="" class="language-"><code>$$ \left. \frac{{\rm d}u}{{\rm d}x} \right| _{x=0} $$
</code></pre><ul>
<li>显示：<span class="katex-display"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><msub><mrow><mfrac><mrow><mrow><mrow><mi mathvariant="normal">d</mi></mrow></mrow><mi>u</mi></mrow><mrow><mrow><mrow><mi mathvariant="normal">d</mi></mrow></mrow><mi>x</mi></mrow></mfrac><mo fence="true">∣</mo></mrow><mrow><mi>x</mi><mo>=</mo><mn>0</mn></mrow></msub></mrow><annotation encoding="application/x-tex">\left. \frac{{\rm d}u}{{\rm d}x} \right| _{x=0}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:1.47398em;"></span><span class="strut bottom" style="height:2.4737em;vertical-align:-0.9997199999999998em;"></span><span class="base"><span class="minner"><span class="minner"><span class="mopen nulldelimiter"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.37144em;"><span style="top:-2.314em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord"><span class="mord"><span class="mord mathrm">d</span></span></span><span class="mord mathit">x</span></span></span><span style="top:-3.15em;"><span class="pstrut" style="height:3em;"></span><span class="stretchy" style="height:0.2em;"><svg width="400em" height="0.2em" viewBox="0 0 400000 200" preserveAspectRatio="xMinYMin slice"><path d="M0 80H400000 v40H0z M0 80H400000 v40H0z"></path></svg></span></span><span style="top:-3.677em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord"><span class="mord"><span class="mord mathrm">d</span></span></span><span class="mord mathit">u</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.686em;"></span></span></span></span><span class="mclose nulldelimiter"></span></span><span class="mclose"><span class="delimsizing mult"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.47398em;"><span style="top:-1.65598em;"><span class="pstrut" style="height:2.606em;"></span><span class="delimsizinginner delim-size1"><span>∣</span></span></span><span style="top:-2.26198em;"><span class="pstrut" style="height:2.606em;"></span><span class="delimsizinginner delim-size1"><span>∣</span></span></span><span style="top:-2.86798em;"><span class="pstrut" style="height:2.606em;"></span><span class="delimsizinginner delim-size1"><span>∣</span></span></span><span style="top:-3.47398em;"><span class="pstrut" style="height:2.606em;"></span><span class="delimsizinginner delim-size1"><span>∣</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.9500199999999999em;"></span></span></span></span></span></span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:-0.5486119999999999em;"><span style="top:-1.7002800000000002em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mathit mtight">x</span><span class="mrel mtight">=</span><span class="mord mtight">0</span></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.9997199999999998em;"></span></span></span></span></span></span></span></span></span></li>
</ul>
<h2 class="mume-header" id="4%E5%A6%82%E4%BD%95%E8%BE%93%E5%85%A5%E5%88%86%E6%95%B0">4．如何输入分数</h2>

<p>通常使用 <code>\frac {分子} {分母}</code> 命令产生一个分数，分数可嵌套。<br>
便捷情况可直接输入 <code>\frac ab</code> 来快速生成一个 <span class="katex"><span class="katex-mathml"><math><semantics><mrow><mfrac><mi>a</mi><mi>b</mi></mfrac></mrow><annotation encoding="application/x-tex">\frac ab</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.695392em;"></span><span class="strut bottom" style="height:1.040392em;vertical-align:-0.345em;"></span><span class="base"><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.695392em;"><span style="top:-2.6550000000000002em;"><span class="pstrut" style="height:3em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mathit mtight">b</span></span></span><span style="top:-3.15em;"><span class="pstrut" style="height:3em;"></span><span class="stretchy" style="height:0.2em;"><svg width="400em" height="0.2em" viewBox="0 0 400000 200" preserveAspectRatio="xMinYMin slice"><path d="M0 80H400000 v40H0z M0 80H400000 v40H0z"></path></svg></span></span><span style="top:-3.394em;"><span class="pstrut" style="height:3em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mathit mtight">a</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.345em;"></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span> 。<br>
如果分式很复杂，亦可使用 <code>分子 \over 分母</code> 命令，此时分数仅有一层。</p>
<ul>
<li>例子：</li>
</ul>
<pre data-role="codeBlock" data-info="" class="language-"><code>$$\frac{a-1}{b-1} \quad and \quad {a+1\over b+1}$$
</code></pre><ul>
<li>显示：<span class="katex-display"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mfrac><mrow><mi>a</mi><mo>−</mo><mn>1</mn></mrow><mrow><mi>b</mi><mo>−</mo><mn>1</mn></mrow></mfrac><mspace width="1em"></mspace><mi>a</mi><mi>n</mi><mi>d</mi><mspace width="1em"></mspace><mrow><mfrac><mrow><mi>a</mi><mo>+</mo><mn>1</mn></mrow><mrow><mi>b</mi><mo>+</mo><mn>1</mn></mrow></mfrac></mrow></mrow><annotation encoding="application/x-tex">\frac{a-1}{b-1} \quad and \quad {a+1\over b+1}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:1.32144em;"></span><span class="strut bottom" style="height:2.09077em;vertical-align:-0.7693300000000001em;"></span><span class="base"><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.32144em;"><span style="top:-2.314em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord mathit">b</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mbin">−</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mord">1</span></span></span><span style="top:-3.15em;"><span class="pstrut" style="height:3em;"></span><span class="stretchy" style="height:0.2em;"><svg width="400em" height="0.2em" viewBox="0 0 400000 200" preserveAspectRatio="xMinYMin slice"><path d="M0 80H400000 v40H0z M0 80H400000 v40H0z"></path></svg></span></span><span style="top:-3.677em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord mathit">a</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mbin">−</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mord">1</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.7693300000000001em;"></span></span></span></span><span class="mclose nulldelimiter"></span></span><span class="mspace quad"></span><span class="mord mathit">a</span><span class="mord mathit">n</span><span class="mord mathit">d</span><span class="mspace quad"></span><span class="mord"><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.32144em;"><span style="top:-2.314em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord mathit">b</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mbin">+</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mord">1</span></span></span><span style="top:-3.15em;"><span class="pstrut" style="height:3em;"></span><span class="stretchy" style="height:0.2em;"><svg width="400em" height="0.2em" viewBox="0 0 400000 200" preserveAspectRatio="xMinYMin slice"><path d="M0 80H400000 v40H0z M0 80H400000 v40H0z"></path></svg></span></span><span style="top:-3.677em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord mathit">a</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mbin">+</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mord">1</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.7693300000000001em;"></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span></span></li>
</ul>
<h2 class="mume-header" id="5%E5%A6%82%E4%BD%95%E8%BE%93%E5%85%A5%E5%BC%80%E6%96%B9">5．如何输入开方</h2>

<p>使用 <code>\sqrt [根指数，省略时为2] {被开方数}</code> 命令输入开方。</p>
<ul>
<li>例子：</li>
</ul>
<pre data-role="codeBlock" data-info="" class="language-"><code>$$\sqrt{2} \quad and \quad \sqrt[n]{3}$$
</code></pre><ul>
<li>显示：<span class="katex-display"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><msqrt><mrow><mn>2</mn></mrow></msqrt><mspace width="1em"></mspace><mi>a</mi><mi>n</mi><mi>d</mi><mspace width="1em"></mspace><mroot><mrow><mn>3</mn></mrow><mrow><mi>n</mi></mrow></mroot></mrow><annotation encoding="application/x-tex">\sqrt{2} \quad and \quad \sqrt[n]{3}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.956095em;"></span><span class="strut bottom" style="height:1.04em;vertical-align:-0.08390500000000001em;"></span><span class="base"><span class="mord sqrt"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.956095em;"><span class="svg-align" style="top:-3em;"><span class="pstrut" style="height:3em;"></span><span class="mord" style="padding-left:0.833em;"><span class="mord">2</span></span></span><span style="top:-2.916095em;"><span class="pstrut" style="height:3em;"></span><span class="hide-tail" style="min-width:0.853em;height:1.08em;"><svg width="400em" height="1.08em" viewBox="0 0 400000 1080" preserveAspectRatio="xMinYMin slice"><path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,
-10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8,
-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0,
35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5,
-221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467
s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422
s-65,47,-65,47z M834 80H400000v40H845z"></path></svg></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.08390500000000001em;"></span></span></span></span><span class="mspace quad"></span><span class="mord mathit">a</span><span class="mord mathit">n</span><span class="mord mathit">d</span><span class="mspace quad"></span><span class="mord sqrt"><span class="root"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.738594em;"><span style="top:-3.023314em;"><span class="pstrut" style="height:2.5em;"></span><span class="sizing reset-size6 size1 mtight"><span class="mord mtight"><span class="mord mathit mtight">n</span></span></span></span></span></span></span></span><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.956095em;"><span class="svg-align" style="top:-3em;"><span class="pstrut" style="height:3em;"></span><span class="mord" style="padding-left:0.833em;"><span class="mord">3</span></span></span><span style="top:-2.916095em;"><span class="pstrut" style="height:3em;"></span><span class="hide-tail" style="min-width:0.853em;height:1.08em;"><svg width="400em" height="1.08em" viewBox="0 0 400000 1080" preserveAspectRatio="xMinYMin slice"><path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,
-10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8,
-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0,
35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5,
-221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467
s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422
s-65,47,-65,47z M834 80H400000v40H845z"></path></svg></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.08390500000000001em;"></span></span></span></span></span></span></span></span></li>
</ul>
<h2 class="mume-header" id="6%E5%A6%82%E4%BD%95%E8%BE%93%E5%85%A5%E7%9C%81%E7%95%A5%E5%8F%B7">6．如何输入省略号</h2>

<p>数学公式中常见的省略号有两种，<code>\ldots</code> 表示与文本底线对齐的省略号，<code>\cdots</code> 表示与文本中线对齐的省略号。</p>
<ul>
<li>例子：</li>
</ul>
<pre data-role="codeBlock" data-info="" class="language-"><code>$$f(x_1,x_2,\underbrace{\ldots}_{\rm ldots} ,x_n) = x_1^2 + x_2^2 + \underbrace{\cdots}_{\rm cdots} + x_n^2$$
</code></pre><ul>
<li>显示：<span class="katex-display"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi>f</mi><mo>(</mo><msub><mi>x</mi><mn>1</mn></msub><mo separator="true">,</mo><msub><mi>x</mi><mn>2</mn></msub><mo separator="true">,</mo><munder><munder><mrow><mo>…</mo></mrow><mo stretchy="true">⎵</mo></munder><mrow><mi mathvariant="normal">l</mi><mi mathvariant="normal">d</mi><mi mathvariant="normal">o</mi><mi mathvariant="normal">t</mi><mi mathvariant="normal">s</mi></mrow></munder><mo separator="true">,</mo><msub><mi>x</mi><mi>n</mi></msub><mo>)</mo><mo>=</mo><msubsup><mi>x</mi><mn>1</mn><mn>2</mn></msubsup><mo>+</mo><msubsup><mi>x</mi><mn>2</mn><mn>2</mn></msubsup><mo>+</mo><munder><munder><mrow><mo>⋯</mo></mrow><mo stretchy="true">⎵</mo></munder><mrow><mi mathvariant="normal">c</mi><mi mathvariant="normal">d</mi><mi mathvariant="normal">o</mi><mi mathvariant="normal">t</mi><mi mathvariant="normal">s</mi></mrow></munder><mo>+</mo><msubsup><mi>x</mi><mi>n</mi><mn>2</mn></msubsup></mrow><annotation encoding="application/x-tex">f(x_1,x_2,\underbrace{\ldots}_{\rm ldots} ,x_n) = x_1^2 + x_2^2 + \underbrace{\cdots}_{\rm cdots} + x_n^2</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.8641079999999999em;"></span><span class="strut bottom" style="height:2.198216em;vertical-align:-1.334108em;"></span><span class="base"><span class="mord mathit" style="margin-right:0.10764em;">f</span><span class="mopen">(</span><span class="mord"><span class="mord mathit">x</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.30110799999999993em;"><span style="top:-2.5500000000000003em;margin-left:0em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">1</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"></span></span></span></span></span><span class="mpunct">,</span><span class="mord rule" style="margin-right:0.16666666666666666em;"></span><span class="mord"><span class="mord mathit">x</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.30110799999999993em;"><span style="top:-2.5500000000000003em;margin-left:0em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">2</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"></span></span></span></span></span><span class="mpunct">,</span><span class="mord rule" style="margin-right:0.16666666666666666em;"></span><span class="mord munder"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.11999999999999988em;"><span style="top:-1.665892em;"><span class="pstrut" style="height:3em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight"><span class="mord mathrm mtight">l</span><span class="mord mathrm mtight">d</span><span class="mord mathrm mtight">o</span><span class="mord mathrm mtight">t</span><span class="mord mathrm mtight">s</span></span></span></span></span><span style="top:-3em;"><span class="pstrut" style="height:3em;"></span><span class="mord munder"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.12000000000000002em;"><span class="svg-align" style="top:-2.352em;"><span class="pstrut" style="height:3em;"></span><span class="stretchy" style="height:0.548em;min-width:1.6em;"><span class="brace-left" style="height:0.548em;"><svg width="400em" height="0.548em" viewBox="0 0 400000 548" preserveAspectRatio="xMinYMin slice"><path d="M0 6l6-6h17c12.688 0 19.313.3 20 1 4 4 7.313 8.3 10 13
 35.313 51.3 80.813 93.8 136.5 127.5 55.688 33.7 117.188 55.8 184.5 66.5.688
 0 2 .3 4 1 18.688 2.7 76 4.3 172 5h399450v120H429l-6-1c-124.688-8-235-61.7
-331-161C60.687 138.7 32.312 99.3 7 54L0 41V6z"></path></svg></span><span class="brace-center" style="height:0.548em;"><svg width="400em" height="0.548em" viewBox="0 0 400000 548" preserveAspectRatio="xMidYMin slice"><path d="M199572 214
c100.7 8.3 195.3 44 280 108 55.3 42 101.7 93 139 153l9 14c2.7-4 5.7-8.7 9-14
 53.3-86.7 123.7-153 211-199 66.7-36 137.3-56.3 212-62h199568v120H200432c-178.3
 11.7-311.7 78.3-403 201-6 8-9.7 12-11 12-.7.7-6.7 1-18 1s-17.3-.3-18-1c-1.3 0
-5-4-11-12-44.7-59.3-101.3-106.3-170-141s-145.3-54.3-229-60H0V214z"></path></svg></span><span class="brace-right" style="height:0.548em;"><svg width="400em" height="0.548em" viewBox="0 0 400000 548" preserveAspectRatio="xMaxYMin slice"><path d="M399994 0l6 6v35l-6 11c-56 104-135.3 181.3-238 232-57.3
 28.7-117 45-179 50H-300V214h399897c43.3-7 81-15 113-26 100.7-33 179.7-91 237
-174 2.7-5 6-9 10-13 .7-1 7.3-1 20-1h17z"></path></svg></span></span></span><span style="top:-3em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="minner">…</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.648em;"></span></span></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:1.334108em;"></span></span></span></span><span class="mpunct">,</span><span class="mord rule" style="margin-right:0.16666666666666666em;"></span><span class="mord"><span class="mord mathit">x</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.151392em;"><span style="top:-2.5500000000000003em;margin-left:0em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mathit mtight">n</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"></span></span></span></span></span><span class="mclose">)</span><span class="mord rule" style="margin-right:0.2777777777777778em;"></span><span class="mrel">=</span><span class="mord rule" style="margin-right:0.2777777777777778em;"></span><span class="mord"><span class="mord mathit">x</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.8641079999999999em;"><span style="top:-2.4530000000000003em;margin-left:0em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">1</span></span></span><span style="top:-3.113em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">2</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.247em;"></span></span></span></span></span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mbin">+</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mord"><span class="mord mathit">x</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.8641079999999999em;"><span style="top:-2.4530000000000003em;margin-left:0em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">2</span></span></span><span style="top:-3.113em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">2</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.247em;"></span></span></span></span></span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mbin">+</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mord munder"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.30999999999999994em;"><span style="top:-1.665892em;"><span class="pstrut" style="height:3em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight"><span class="mord mathrm mtight">c</span><span class="mord mathrm mtight">d</span><span class="mord mathrm mtight">o</span><span class="mord mathrm mtight">t</span><span class="mord mathrm mtight">s</span></span></span></span></span><span style="top:-3em;"><span class="pstrut" style="height:3em;"></span><span class="mord munder"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.31000000000000005em;"><span class="svg-align" style="top:-2.352em;"><span class="pstrut" style="height:3em;"></span><span class="stretchy" style="height:0.548em;min-width:1.6em;"><span class="brace-left" style="height:0.548em;"><svg width="400em" height="0.548em" viewBox="0 0 400000 548" preserveAspectRatio="xMinYMin slice"><path d="M0 6l6-6h17c12.688 0 19.313.3 20 1 4 4 7.313 8.3 10 13
 35.313 51.3 80.813 93.8 136.5 127.5 55.688 33.7 117.188 55.8 184.5 66.5.688
 0 2 .3 4 1 18.688 2.7 76 4.3 172 5h399450v120H429l-6-1c-124.688-8-235-61.7
-331-161C60.687 138.7 32.312 99.3 7 54L0 41V6z"></path></svg></span><span class="brace-center" style="height:0.548em;"><svg width="400em" height="0.548em" viewBox="0 0 400000 548" preserveAspectRatio="xMidYMin slice"><path d="M199572 214
c100.7 8.3 195.3 44 280 108 55.3 42 101.7 93 139 153l9 14c2.7-4 5.7-8.7 9-14
 53.3-86.7 123.7-153 211-199 66.7-36 137.3-56.3 212-62h199568v120H200432c-178.3
 11.7-311.7 78.3-403 201-6 8-9.7 12-11 12-.7.7-6.7 1-18 1s-17.3-.3-18-1c-1.3 0
-5-4-11-12-44.7-59.3-101.3-106.3-170-141s-145.3-54.3-229-60H0V214z"></path></svg></span><span class="brace-right" style="height:0.548em;"><svg width="400em" height="0.548em" viewBox="0 0 400000 548" preserveAspectRatio="xMaxYMin slice"><path d="M399994 0l6 6v35l-6 11c-56 104-135.3 181.3-238 232-57.3
 28.7-117 45-179 50H-300V214h399897c43.3-7 81-15 113-26 100.7-33 179.7-91 237
-174 2.7-5 6-9 10-13 .7-1 7.3-1 20-1h17z"></path></svg></span></span></span><span style="top:-3em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="minner">⋯</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.648em;"></span></span></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:1.334108em;"></span></span></span></span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mbin">+</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mord"><span class="mord mathit">x</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.8641079999999999em;"><span style="top:-2.4530000000000003em;margin-left:0em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mathit mtight">n</span></span></span><span style="top:-3.113em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">2</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.247em;"></span></span></span></span></span></span></span></span></span></li>
</ul>
<h2 class="mume-header" id="7%E5%A6%82%E4%BD%95%E8%BE%93%E5%85%A5%E7%9F%A2%E9%87%8F">7．如何输入矢量</h2>

<p>使用 <code>\vec{矢量}</code> 来自动产生一个矢量。也可以使用 <code>\overrightarrow</code> 等命令自定义字母上方的符号。</p>
<ul>
<li>例子：</li>
</ul>
<pre data-role="codeBlock" data-info="" class="language-"><code>$$\vec{a} \cdot \vec{b}=0$$
</code></pre><ul>
<li>
<p>显示：<span class="katex-display"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mover accent="true"><mrow><mi>a</mi></mrow><mo>⃗</mo></mover><mo>⋅</mo><mover accent="true"><mrow><mi>b</mi></mrow><mo>⃗</mo></mover><mo>=</mo><mn>0</mn></mrow><annotation encoding="application/x-tex">\vec{a} \cdot \vec{b}=0</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.9774399999999999em;"></span><span class="strut bottom" style="height:0.9774399999999999em;vertical-align:0em;"></span><span class="base"><span class="mord accent"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.714em;"><span style="top:-3em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord mathit">a</span></span></span><span style="top:-3em;"><span class="pstrut" style="height:3em;"></span><span class="accent-body" style="left:-0.2355em;"><span class="overlay" style="height:0.714em;width:0.471em;"><svg width="0.471em" height="0.714em" style="width:0.471em" viewBox="0 0 471 714" preserveAspectRatio="xMinYMin"><path d="M377 20c0-5.333 1.833-10 5.5-14S391 0 397 0c4.667 0 8.667 1.667 12 5
3.333 2.667 6.667 9 10 19 6.667 24.667 20.333 43.667 41 57 7.333 4.667 11
10.667 11 18 0 6-1 10-3 12s-6.667 5-14 9c-28.667 14.667-53.667 35.667-75 63
-1.333 1.333-3.167 3.5-5.5 6.5s-4 4.833-5 5.5c-1 .667-2.5 1.333-4.5 2s-4.333 1
-7 1c-4.667 0-9.167-1.833-13.5-5.5S337 184 337 178c0-12.667 15.667-32.333 47-59
H213l-171-1c-8.667-6-13-12.333-13-19 0-4.667 4.333-11.333 13-20h359
c-16-25.333-24-45-24-59z"></path></svg></span></span></span></span></span></span></span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mbin">⋅</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mord accent"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.9774399999999999em;"><span style="top:-3em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord mathit">b</span></span></span><span style="top:-3.26344em;"><span class="pstrut" style="height:3em;"></span><span class="accent-body" style="left:-0.2355em;"><span class="overlay" style="height:0.714em;width:0.471em;"><svg width="0.471em" height="0.714em" style="width:0.471em" viewBox="0 0 471 714" preserveAspectRatio="xMinYMin"><path d="M377 20c0-5.333 1.833-10 5.5-14S391 0 397 0c4.667 0 8.667 1.667 12 5
3.333 2.667 6.667 9 10 19 6.667 24.667 20.333 43.667 41 57 7.333 4.667 11
10.667 11 18 0 6-1 10-3 12s-6.667 5-14 9c-28.667 14.667-53.667 35.667-75 63
-1.333 1.333-3.167 3.5-5.5 6.5s-4 4.833-5 5.5c-1 .667-2.5 1.333-4.5 2s-4.333 1
-7 1c-4.667 0-9.167-1.833-13.5-5.5S337 184 337 178c0-12.667 15.667-32.333 47-59
H213l-171-1c-8.667-6-13-12.333-13-19 0-4.667 4.333-11.333 13-20h359
c-16-25.333-24-45-24-59z"></path></svg></span></span></span></span></span></span></span><span class="mord rule" style="margin-right:0.2777777777777778em;"></span><span class="mrel">=</span><span class="mord rule" style="margin-right:0.2777777777777778em;"></span><span class="mord">0</span></span></span></span></span></p>
</li>
<li>
<p>例子：</p>
</li>
</ul>
<pre data-role="codeBlock" data-info="" class="language-"><code>$$\overleftarrow{xy} \quad and \quad \overleftrightarrow{xy} \quad and \quad \overrightarrow{xy}$$
</code></pre><ul>
<li>显示：<span class="katex-display"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mover accent="true"><mrow><mi>x</mi><mi>y</mi></mrow><mo stretchy="true">←</mo></mover><mspace width="1em"></mspace><mi>a</mi><mi>n</mi><mi>d</mi><mspace width="1em"></mspace><mover accent="true"><mrow><mi>x</mi><mi>y</mi></mrow><mo stretchy="true">↔</mo></mover><mspace width="1em"></mspace><mi>a</mi><mi>n</mi><mi>d</mi><mspace width="1em"></mspace><mover accent="true"><mrow><mi>x</mi><mi>y</mi></mrow><mo stretchy="true">→</mo></mover></mrow><annotation encoding="application/x-tex">\overleftarrow{xy} \quad and \quad \overleftrightarrow{xy} \quad and \quad \overrightarrow{xy}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.9525600000000001em;"></span><span class="strut bottom" style="height:1.147em;vertical-align:-0.19444em;"></span><span class="base"><span class="mord accent"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.9525600000000001em;"><span style="top:-3em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord mathit">x</span><span class="mord mathit" style="margin-right:0.03588em;">y</span></span></span><span class="svg-align" style="top:-3.43056em;"><span class="pstrut" style="height:3em;"></span><span class="hide-tail" style="height:0.522em;min-width:0.888em;"><svg width="400em" height="0.522em" viewBox="0 0 400000 522" preserveAspectRatio="xMinYMin slice"><path d="M400000 241H110l3-3c68.7-52.7 113.7-120
 135-202 4-14.7 6-23 6-25 0-7.3-7-11-21-11-8 0-13.2.8-15.5 2.5-2.3 1.7-4.2 5.8
-5.5 12.5-1.3 4.7-2.7 10.3-4 17-12 48.7-34.8 92-68.5 130S65.3 228.3 18 247
c-10 4-16 7.7-18 11 0 8.7 6 14.3 18 17 47.3 18.7 87.8 47 121.5 85S196 441.3 208
 490c.7 2 1.3 5 2 9s1.2 6.7 1.5 8c.3 1.3 1 3.3 2 6s2.2 4.5 3.5 5.5c1.3 1 3.3
 1.8 6 2.5s6 1 10 1c14 0 21-3.7 21-11 0-2-2-10.3-6-25-20-79.3-65-146.7-135-202
 l-3-3h399890zM100 241v40h399900v-40z"></path></svg></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.19444em;"></span></span></span></span><span class="mspace quad"></span><span class="mord mathit">a</span><span class="mord mathit">n</span><span class="mord mathit">d</span><span class="mspace quad"></span><span class="mord accent"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.9525600000000001em;"><span style="top:-3em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord mathit">x</span><span class="mord mathit" style="margin-right:0.03588em;">y</span></span></span><span class="svg-align" style="top:-3.43056em;"><span class="pstrut" style="height:3em;"></span><span class="stretchy" style="height:0.522em;min-width:0.888em;"><span class="halfarrow-left" style="height:0.522em;"><svg width="400em" height="0.522em" viewBox="0 0 400000 522" preserveAspectRatio="xMinYMin slice"><path d="M400000 241H110l3-3c68.7-52.7 113.7-120
 135-202 4-14.7 6-23 6-25 0-7.3-7-11-21-11-8 0-13.2.8-15.5 2.5-2.3 1.7-4.2 5.8
-5.5 12.5-1.3 4.7-2.7 10.3-4 17-12 48.7-34.8 92-68.5 130S65.3 228.3 18 247
c-10 4-16 7.7-18 11 0 8.7 6 14.3 18 17 47.3 18.7 87.8 47 121.5 85S196 441.3 208
 490c.7 2 1.3 5 2 9s1.2 6.7 1.5 8c.3 1.3 1 3.3 2 6s2.2 4.5 3.5 5.5c1.3 1 3.3
 1.8 6 2.5s6 1 10 1c14 0 21-3.7 21-11 0-2-2-10.3-6-25-20-79.3-65-146.7-135-202
 l-3-3h399890zM100 241v40h399900v-40z"></path></svg></span><span class="halfarrow-right" style="height:0.522em;"><svg width="400em" height="0.522em" viewBox="0 0 400000 522" preserveAspectRatio="xMaxYMin slice"><path d="M0 241v40h399891c-47.3 35.3-84 78-110 128
-16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20
 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7
 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85
-40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5
-12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67
 151.7 139 205zm0 0v40h399900v-40z"></path></svg></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.19444em;"></span></span></span></span><span class="mspace quad"></span><span class="mord mathit">a</span><span class="mord mathit">n</span><span class="mord mathit">d</span><span class="mspace quad"></span><span class="mord accent"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.9525600000000001em;"><span style="top:-3em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord mathit">x</span><span class="mord mathit" style="margin-right:0.03588em;">y</span></span></span><span class="svg-align" style="top:-3.43056em;"><span class="pstrut" style="height:3em;"></span><span class="hide-tail" style="height:0.522em;min-width:0.888em;"><svg width="400em" height="0.522em" viewBox="0 0 400000 522" preserveAspectRatio="xMaxYMin slice"><path d="M0 241v40h399891c-47.3 35.3-84 78-110 128
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-12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67
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</ul>
<h2 class="mume-header" id="8%E5%A6%82%E4%BD%95%E8%BE%93%E5%85%A5%E7%A7%AF%E5%88%86">8．如何输入积分</h2>

<p>使用 <code>\int_积分下限^积分上限 {被积表达式}</code> 来输入一个积分。</p>
<p>例子：</p>
<pre data-role="codeBlock" data-info="" class="language-"><code>$$\int_0^1 {x^2} \,{\rm d}x$$
</code></pre><p>显示：<span class="katex-display"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><msubsup><mo>∫</mo><mn>0</mn><mn>1</mn></msubsup><mrow><msup><mi>x</mi><mn>2</mn></msup></mrow><mspace width="0.16667em"></mspace><mrow><mrow><mi mathvariant="normal">d</mi></mrow></mrow><mi>x</mi></mrow><annotation encoding="application/x-tex">\int_0^1 {x^2} \,{\rm d}x</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:1.5640080000000003em;"></span><span class="strut bottom" style="height:2.4759580000000003em;vertical-align:-0.9119499999999999em;"></span><span class="base"><span class="mop"><span class="mop op-symbol large-op" style="margin-right:0.44445em;position:relative;top:-0.0011249999999999316em;">∫</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.5640080000000003em;"><span style="top:-1.7880500000000001em;margin-left:-0.44445em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">0</span></span></span><span style="top:-3.8129000000000004em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">1</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.9119499999999999em;"></span></span></span></span></span><span class="mord rule" style="margin-right:0.16666666666666666em;"></span><span class="mord"><span class="mord"><span class="mord mathit">x</span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.8641079999999999em;"><span style="top:-3.113em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">2</span></span></span></span></span></span></span></span></span><span class="mspace thinspace"></span><span class="mord"><span class="mord"><span class="mord mathrm">d</span></span></span><span class="mord mathit">x</span></span></span></span></span></p>
<p>本例中 <code>\,</code> 和 <code>{\rm d}</code> 部分可省略，但建议加入，能使式子更美观。</p>
<h2 class="mume-header" id="9%E5%A6%82%E4%BD%95%E8%BE%93%E5%85%A5%E6%9E%81%E9%99%90%E8%BF%90%E7%AE%97">9．如何输入极限运算</h2>

<p>使用 <code>\lim_{变量 \to 表达式} 表达式</code> 来输入一个极限。如有需求，可以更改 <code>\to</code> 符号至任意符号。</p>
<p>例子：</p>
<pre data-role="codeBlock" data-info="" class="language-"><code>$$ \lim_{n \to +\infty} \frac{1}{n(n+1)} \quad and \quad \lim_{x\leftarrow{&#x793A;&#x4F8B;}} \frac{1}{n(n+1)} $$
</code></pre><p>显示：<span style="color: #ee7f49; font-weight: 500;">ParseError: KaTeX parse error: Expected '}', got '示' at position 73: …m_{x\leftarrow{示̲例}} \frac{1}{n(…</span></p>
<h2 class="mume-header" id="10%E5%A6%82%E4%BD%95%E8%BE%93%E5%85%A5%E7%B4%AF%E5%8A%A0-%E7%B4%AF%E4%B9%98%E8%BF%90%E7%AE%97">10．如何输入累加、累乘运算</h2>

<p>使用 <code>\sum_{下标表达式}^{上标表达式} {累加表达式}</code> 来输入一个累加。<br>
与之类似，使用 <code>\prod</code> <code>\bigcup</code> <code>\bigcap</code> 来分别输入累乘、并集和交集。<br>
此类符号在行内显示时上下标表达式将会移至右上角和右下角。</p>
<ul>
<li>例子：</li>
</ul>
<pre data-role="codeBlock" data-info="" class="language-"><code>$$\sum_{i=1}^n \frac{1}{i^2} \quad and \quad \prod_{i=1}^n \frac{1}{i^2} \quad and \quad \bigcup_{i=1}^{2} R$$
</code></pre><ul>
<li>显示：<span class="katex-display"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><munderover><mo>∑</mo><mrow><mi>i</mi><mo>=</mo><mn>1</mn></mrow><mi>n</mi></munderover><mfrac><mrow><mn>1</mn></mrow><mrow><msup><mi>i</mi><mn>2</mn></msup></mrow></mfrac><mspace width="1em"></mspace><mi>a</mi><mi>n</mi><mi>d</mi><mspace width="1em"></mspace><munderover><mo>∏</mo><mrow><mi>i</mi><mo>=</mo><mn>1</mn></mrow><mi>n</mi></munderover><mfrac><mrow><mn>1</mn></mrow><mrow><msup><mi>i</mi><mn>2</mn></msup></mrow></mfrac><mspace width="1em"></mspace><mi>a</mi><mi>n</mi><mi>d</mi><mspace width="1em"></mspace><munderover><mo>⋃</mo><mrow><mi>i</mi><mo>=</mo><mn>1</mn></mrow><mn>2</mn></munderover><mi>R</mi></mrow><annotation encoding="application/x-tex">\sum_{i=1}^n \frac{1}{i^2} \quad and \quad \prod_{i=1}^n \frac{1}{i^2} \quad and \quad \bigcup_{i=1}^{2} R</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:1.8011130000000004em;"></span><span class="strut bottom" style="height:3.0787820000000004em;vertical-align:-1.277669em;"></span><span class="base"><span class="mop op-limits"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.6513970000000002em;"><span style="top:-1.872331em;margin-left:0em;"><span class="pstrut" style="height:3.05em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mathit mtight">i</span><span class="mrel mtight">=</span><span class="mord mtight">1</span></span></span></span><span style="top:-3.050005em;"><span class="pstrut" style="height:3.05em;"></span><span><span class="mop op-symbol large-op">∑</span></span></span><span style="top:-4.3000050000000005em;margin-left:0em;"><span class="pstrut" style="height:3.05em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mathit mtight">n</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:1.277669em;"></span></span></span></span><span class="mord rule" style="margin-right:0.16666666666666666em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.32144em;"><span style="top:-2.314em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord"><span class="mord mathit">i</span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.740108em;"><span style="top:-2.9890000000000003em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">2</span></span></span></span></span></span></span></span></span></span><span style="top:-3.15em;"><span class="pstrut" style="height:3em;"></span><span class="stretchy" style="height:0.2em;"><svg width="400em" height="0.2em" viewBox="0 0 400000 200" preserveAspectRatio="xMinYMin slice"><path d="M0 80H400000 v40H0z M0 80H400000 v40H0z"></path></svg></span></span><span style="top:-3.677em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord">1</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.686em;"></span></span></span></span><span class="mclose nulldelimiter"></span></span><span class="mspace quad"></span><span class="mord mathit">a</span><span class="mord mathit">n</span><span class="mord mathit">d</span><span class="mord rule" style="margin-right:0.16666666666666666em;"></span><span class="mspace quad"></span><span class="mop op-limits"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.6513970000000002em;"><span style="top:-1.872331em;margin-left:0em;"><span class="pstrut" style="height:3.05em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mathit mtight">i</span><span class="mrel mtight">=</span><span class="mord mtight">1</span></span></span></span><span style="top:-3.050005em;"><span class="pstrut" style="height:3.05em;"></span><span><span class="mop op-symbol large-op">∏</span></span></span><span style="top:-4.3000050000000005em;margin-left:0em;"><span class="pstrut" style="height:3.05em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mathit mtight">n</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:1.277669em;"></span></span></span></span><span class="mord rule" style="margin-right:0.16666666666666666em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.32144em;"><span style="top:-2.314em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord"><span class="mord mathit">i</span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.740108em;"><span style="top:-2.9890000000000003em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">2</span></span></span></span></span></span></span></span></span></span><span style="top:-3.15em;"><span class="pstrut" style="height:3em;"></span><span class="stretchy" style="height:0.2em;"><svg width="400em" height="0.2em" viewBox="0 0 400000 200" preserveAspectRatio="xMinYMin slice"><path d="M0 80H400000 v40H0z M0 80H400000 v40H0z"></path></svg></span></span><span style="top:-3.677em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord">1</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.686em;"></span></span></span></span><span class="mclose nulldelimiter"></span></span><span class="mspace quad"></span><span class="mord mathit">a</span><span class="mord mathit">n</span><span class="mord mathit">d</span><span class="mord rule" style="margin-right:0.16666666666666666em;"></span><span class="mspace quad"></span><span class="mop op-limits"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.8011130000000004em;"><span style="top:-1.872331em;margin-left:0em;"><span class="pstrut" style="height:3.05em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mathit mtight">i</span><span class="mrel mtight">=</span><span class="mord mtight">1</span></span></span></span><span style="top:-3.050005em;"><span class="pstrut" style="height:3.05em;"></span><span><span class="mop op-symbol large-op">⋃</span></span></span><span style="top:-4.3000050000000005em;margin-left:0em;"><span class="pstrut" style="height:3.05em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight">2</span></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:1.277669em;"></span></span></span></span><span class="mord rule" style="margin-right:0.16666666666666666em;"></span><span class="mord mathit" style="margin-right:0.00773em;">R</span></span></span></span></span></li>
</ul>
<h2 class="mume-header" id="11%E5%A6%82%E4%BD%95%E8%BE%93%E5%85%A5%E5%B8%8C%E8%85%8A%E5%AD%97%E6%AF%8D">11．如何输入希腊字母</h2>

<p>输入 <code>\小写希腊字母英文全称</code> 和 <code>\首字母大写希腊字母英文全称</code> 来分别输入小写和大写希腊字母。<br>
<strong>对于大写希腊字母与现有字母相同的，直接输入大写字母即可。</strong></p>
<table>
<thead>
<tr>
<th style="text-align:center">输入</th>
<th style="text-align:center">显示</th>
<th style="text-align:center">输入</th>
<th style="text-align:center">显示</th>
<th style="text-align:center">输入</th>
<th style="text-align:center">显示</th>
<th style="text-align:center">输入</th>
<th style="text-align:center">显示</th>
</tr>
</thead>
<tbody>
<tr>
<td style="text-align:center">\alpha</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi>α</mi></mrow><annotation encoding="application/x-tex">\alpha</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.43056em;"></span><span class="strut bottom" style="height:0.43056em;vertical-align:0em;"></span><span class="base"><span class="mord mathit" style="margin-right:0.0037em;">α</span></span></span></span></td>
<td style="text-align:center">A</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi>A</mi></mrow><annotation encoding="application/x-tex">A</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.68333em;"></span><span class="strut bottom" style="height:0.68333em;vertical-align:0em;"></span><span class="base"><span class="mord mathit">A</span></span></span></span></td>
<td style="text-align:center">\beta</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi>β</mi></mrow><annotation encoding="application/x-tex">\beta</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.69444em;"></span><span class="strut bottom" style="height:0.8888799999999999em;vertical-align:-0.19444em;"></span><span class="base"><span class="mord mathit" style="margin-right:0.05278em;">β</span></span></span></span></td>
<td style="text-align:center">B</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi>B</mi></mrow><annotation encoding="application/x-tex">B</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.68333em;"></span><span class="strut bottom" style="height:0.68333em;vertical-align:0em;"></span><span class="base"><span class="mord mathit" style="margin-right:0.05017em;">B</span></span></span></span></td>
</tr>
<tr>
<td style="text-align:center">\gamma</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi>γ</mi></mrow><annotation encoding="application/x-tex">\gamma</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.43056em;"></span><span class="strut bottom" style="height:0.625em;vertical-align:-0.19444em;"></span><span class="base"><span class="mord mathit" style="margin-right:0.05556em;">γ</span></span></span></span></td>
<td style="text-align:center">\Gamma</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi mathvariant="normal">Γ</mi></mrow><annotation encoding="application/x-tex">\Gamma</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.68333em;"></span><span class="strut bottom" style="height:0.68333em;vertical-align:0em;"></span><span class="base"><span class="mord">Γ</span></span></span></span></td>
<td style="text-align:center">\delta</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi>δ</mi></mrow><annotation encoding="application/x-tex">\delta</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.69444em;"></span><span class="strut bottom" style="height:0.69444em;vertical-align:0em;"></span><span class="base"><span class="mord mathit" style="margin-right:0.03785em;">δ</span></span></span></span></td>
<td style="text-align:center">\Delta</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi mathvariant="normal">Δ</mi></mrow><annotation encoding="application/x-tex">\Delta</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.68333em;"></span><span class="strut bottom" style="height:0.68333em;vertical-align:0em;"></span><span class="base"><span class="mord">Δ</span></span></span></span></td>
</tr>
<tr>
<td style="text-align:center">\epsilon</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi>ϵ</mi></mrow><annotation encoding="application/x-tex">\epsilon</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.43056em;"></span><span class="strut bottom" style="height:0.43056em;vertical-align:0em;"></span><span class="base"><span class="mord mathit">ϵ</span></span></span></span></td>
<td style="text-align:center">E</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi>E</mi></mrow><annotation encoding="application/x-tex">E</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.68333em;"></span><span class="strut bottom" style="height:0.68333em;vertical-align:0em;"></span><span class="base"><span class="mord mathit" style="margin-right:0.05764em;">E</span></span></span></span></td>
<td style="text-align:center">\zeta</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi>ζ</mi></mrow><annotation encoding="application/x-tex">\zeta</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.69444em;"></span><span class="strut bottom" style="height:0.8888799999999999em;vertical-align:-0.19444em;"></span><span class="base"><span class="mord mathit" style="margin-right:0.07378em;">ζ</span></span></span></span></td>
<td style="text-align:center">Z</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi>Z</mi></mrow><annotation encoding="application/x-tex">Z</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.68333em;"></span><span class="strut bottom" style="height:0.68333em;vertical-align:0em;"></span><span class="base"><span class="mord mathit" style="margin-right:0.07153em;">Z</span></span></span></span></td>
</tr>
<tr>
<td style="text-align:center">\eta</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi>η</mi></mrow><annotation encoding="application/x-tex">\eta</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.43056em;"></span><span class="strut bottom" style="height:0.625em;vertical-align:-0.19444em;"></span><span class="base"><span class="mord mathit" style="margin-right:0.03588em;">η</span></span></span></span></td>
<td style="text-align:center">H</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi>H</mi></mrow><annotation encoding="application/x-tex">H</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.68333em;"></span><span class="strut bottom" style="height:0.68333em;vertical-align:0em;"></span><span class="base"><span class="mord mathit" style="margin-right:0.08125em;">H</span></span></span></span></td>
<td style="text-align:center">\theta</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi>θ</mi></mrow><annotation encoding="application/x-tex">\theta</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.69444em;"></span><span class="strut bottom" style="height:0.69444em;vertical-align:0em;"></span><span class="base"><span class="mord mathit" style="margin-right:0.02778em;">θ</span></span></span></span></td>
<td style="text-align:center">\Theta</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi mathvariant="normal">Θ</mi></mrow><annotation encoding="application/x-tex">\Theta</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.68333em;"></span><span class="strut bottom" style="height:0.68333em;vertical-align:0em;"></span><span class="base"><span class="mord">Θ</span></span></span></span></td>
</tr>
<tr>
<td style="text-align:center">\iota</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi>ι</mi></mrow><annotation encoding="application/x-tex">\iota</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.43056em;"></span><span class="strut bottom" style="height:0.43056em;vertical-align:0em;"></span><span class="base"><span class="mord mathit">ι</span></span></span></span></td>
<td style="text-align:center">I</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi>I</mi></mrow><annotation encoding="application/x-tex">I</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.68333em;"></span><span class="strut bottom" style="height:0.68333em;vertical-align:0em;"></span><span class="base"><span class="mord mathit" style="margin-right:0.07847em;">I</span></span></span></span></td>
<td style="text-align:center">\kappa</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi>κ</mi></mrow><annotation encoding="application/x-tex">\kappa</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.43056em;"></span><span class="strut bottom" style="height:0.43056em;vertical-align:0em;"></span><span class="base"><span class="mord mathit">κ</span></span></span></span></td>
<td style="text-align:center">K</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi>K</mi></mrow><annotation encoding="application/x-tex">K</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.68333em;"></span><span class="strut bottom" style="height:0.68333em;vertical-align:0em;"></span><span class="base"><span class="mord mathit" style="margin-right:0.07153em;">K</span></span></span></span></td>
</tr>
<tr>
<td style="text-align:center">\lambda</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi>λ</mi></mrow><annotation encoding="application/x-tex">\lambda</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.69444em;"></span><span class="strut bottom" style="height:0.69444em;vertical-align:0em;"></span><span class="base"><span class="mord mathit">λ</span></span></span></span></td>
<td style="text-align:center">\Lambda</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi mathvariant="normal">Λ</mi></mrow><annotation encoding="application/x-tex">\Lambda</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.68333em;"></span><span class="strut bottom" style="height:0.68333em;vertical-align:0em;"></span><span class="base"><span class="mord">Λ</span></span></span></span></td>
<td style="text-align:center">\mu</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi>μ</mi></mrow><annotation encoding="application/x-tex">\mu</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.43056em;"></span><span class="strut bottom" style="height:0.625em;vertical-align:-0.19444em;"></span><span class="base"><span class="mord mathit">μ</span></span></span></span></td>
<td style="text-align:center">M</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi>M</mi></mrow><annotation encoding="application/x-tex">M</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.68333em;"></span><span class="strut bottom" style="height:0.68333em;vertical-align:0em;"></span><span class="base"><span class="mord mathit" style="margin-right:0.10903em;">M</span></span></span></span></td>
</tr>
<tr>
<td style="text-align:center">\nu</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi>ν</mi></mrow><annotation encoding="application/x-tex">\nu</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.43056em;"></span><span class="strut bottom" style="height:0.43056em;vertical-align:0em;"></span><span class="base"><span class="mord mathit" style="margin-right:0.06366em;">ν</span></span></span></span></td>
<td style="text-align:center">N</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi>N</mi></mrow><annotation encoding="application/x-tex">N</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.68333em;"></span><span class="strut bottom" style="height:0.68333em;vertical-align:0em;"></span><span class="base"><span class="mord mathit" style="margin-right:0.10903em;">N</span></span></span></span></td>
<td style="text-align:center">\xi</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi>ξ</mi></mrow><annotation encoding="application/x-tex">\xi</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.69444em;"></span><span class="strut bottom" style="height:0.8888799999999999em;vertical-align:-0.19444em;"></span><span class="base"><span class="mord mathit" style="margin-right:0.04601em;">ξ</span></span></span></span></td>
<td style="text-align:center">\Xi</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi mathvariant="normal">Ξ</mi></mrow><annotation encoding="application/x-tex">\Xi</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.68333em;"></span><span class="strut bottom" style="height:0.68333em;vertical-align:0em;"></span><span class="base"><span class="mord">Ξ</span></span></span></span></td>
</tr>
<tr>
<td style="text-align:center">o</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi>o</mi></mrow><annotation encoding="application/x-tex">o</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.43056em;"></span><span class="strut bottom" style="height:0.43056em;vertical-align:0em;"></span><span class="base"><span class="mord mathit">o</span></span></span></span></td>
<td style="text-align:center">O</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi>O</mi></mrow><annotation encoding="application/x-tex">O</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.68333em;"></span><span class="strut bottom" style="height:0.68333em;vertical-align:0em;"></span><span class="base"><span class="mord mathit" style="margin-right:0.02778em;">O</span></span></span></span></td>
<td style="text-align:center">\pi</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi>π</mi></mrow><annotation encoding="application/x-tex">\pi</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.43056em;"></span><span class="strut bottom" style="height:0.43056em;vertical-align:0em;"></span><span class="base"><span class="mord mathit" style="margin-right:0.03588em;">π</span></span></span></span></td>
<td style="text-align:center">\Pi</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi mathvariant="normal">Π</mi></mrow><annotation encoding="application/x-tex">\Pi</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.68333em;"></span><span class="strut bottom" style="height:0.68333em;vertical-align:0em;"></span><span class="base"><span class="mord">Π</span></span></span></span></td>
</tr>
<tr>
<td style="text-align:center">\rho</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi>ρ</mi></mrow><annotation encoding="application/x-tex">\rho</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.43056em;"></span><span class="strut bottom" style="height:0.625em;vertical-align:-0.19444em;"></span><span class="base"><span class="mord mathit">ρ</span></span></span></span></td>
<td style="text-align:center">P</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi>P</mi></mrow><annotation encoding="application/x-tex">P</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.68333em;"></span><span class="strut bottom" style="height:0.68333em;vertical-align:0em;"></span><span class="base"><span class="mord mathit" style="margin-right:0.13889em;">P</span></span></span></span></td>
<td style="text-align:center">\sigma</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi>σ</mi></mrow><annotation encoding="application/x-tex">\sigma</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.43056em;"></span><span class="strut bottom" style="height:0.43056em;vertical-align:0em;"></span><span class="base"><span class="mord mathit" style="margin-right:0.03588em;">σ</span></span></span></span></td>
<td style="text-align:center">\Sigma</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi mathvariant="normal">Σ</mi></mrow><annotation encoding="application/x-tex">\Sigma</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.68333em;"></span><span class="strut bottom" style="height:0.68333em;vertical-align:0em;"></span><span class="base"><span class="mord">Σ</span></span></span></span></td>
</tr>
<tr>
<td style="text-align:center">\tau</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi>τ</mi></mrow><annotation encoding="application/x-tex">\tau</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.43056em;"></span><span class="strut bottom" style="height:0.43056em;vertical-align:0em;"></span><span class="base"><span class="mord mathit" style="margin-right:0.1132em;">τ</span></span></span></span></td>
<td style="text-align:center">T</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi>T</mi></mrow><annotation encoding="application/x-tex">T</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.68333em;"></span><span class="strut bottom" style="height:0.68333em;vertical-align:0em;"></span><span class="base"><span class="mord mathit" style="margin-right:0.13889em;">T</span></span></span></span></td>
<td style="text-align:center">\upsilon</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi>υ</mi></mrow><annotation encoding="application/x-tex">\upsilon</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.43056em;"></span><span class="strut bottom" style="height:0.43056em;vertical-align:0em;"></span><span class="base"><span class="mord mathit" style="margin-right:0.03588em;">υ</span></span></span></span></td>
<td style="text-align:center">\Upsilon</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi mathvariant="normal">Υ</mi></mrow><annotation encoding="application/x-tex">\Upsilon</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.68333em;"></span><span class="strut bottom" style="height:0.68333em;vertical-align:0em;"></span><span class="base"><span class="mord">Υ</span></span></span></span></td>
</tr>
<tr>
<td style="text-align:center">\phi</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi>ϕ</mi></mrow><annotation encoding="application/x-tex">\phi</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.69444em;"></span><span class="strut bottom" style="height:0.8888799999999999em;vertical-align:-0.19444em;"></span><span class="base"><span class="mord mathit">ϕ</span></span></span></span></td>
<td style="text-align:center">\Phi</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi mathvariant="normal">Φ</mi></mrow><annotation encoding="application/x-tex">\Phi</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.68333em;"></span><span class="strut bottom" style="height:0.68333em;vertical-align:0em;"></span><span class="base"><span class="mord">Φ</span></span></span></span></td>
<td style="text-align:center">\chi</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi>χ</mi></mrow><annotation encoding="application/x-tex">\chi</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.43056em;"></span><span class="strut bottom" style="height:0.625em;vertical-align:-0.19444em;"></span><span class="base"><span class="mord mathit">χ</span></span></span></span></td>
<td style="text-align:center">X</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi>X</mi></mrow><annotation encoding="application/x-tex">X</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.68333em;"></span><span class="strut bottom" style="height:0.68333em;vertical-align:0em;"></span><span class="base"><span class="mord mathit" style="margin-right:0.07847em;">X</span></span></span></span></td>
</tr>
<tr>
<td style="text-align:center">\psi</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi>ψ</mi></mrow><annotation encoding="application/x-tex">\psi</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.69444em;"></span><span class="strut bottom" style="height:0.8888799999999999em;vertical-align:-0.19444em;"></span><span class="base"><span class="mord mathit" style="margin-right:0.03588em;">ψ</span></span></span></span></td>
<td style="text-align:center">\Psi</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi mathvariant="normal">Ψ</mi></mrow><annotation encoding="application/x-tex">\Psi</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.68333em;"></span><span class="strut bottom" style="height:0.68333em;vertical-align:0em;"></span><span class="base"><span class="mord">Ψ</span></span></span></span></td>
<td style="text-align:center">\omega</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi>ω</mi></mrow><annotation encoding="application/x-tex">\omega</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.43056em;"></span><span class="strut bottom" style="height:0.43056em;vertical-align:0em;"></span><span class="base"><span class="mord mathit" style="margin-right:0.03588em;">ω</span></span></span></span></td>
<td style="text-align:center">\Omega</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi mathvariant="normal">Ω</mi></mrow><annotation encoding="application/x-tex">\Omega</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.68333em;"></span><span class="strut bottom" style="height:0.68333em;vertical-align:0em;"></span><span class="base"><span class="mord">Ω</span></span></span></span></td>
</tr>
</tbody>
</table>
<p><strong>部分字母有变量专用形式，以 <code>\var-</code> 开头。</strong></p>
<table>
<thead>
<tr>
<th style="text-align:center">小写形式</th>
<th style="text-align:center">大写形式</th>
<th style="text-align:center">变量形式</th>
<th style="text-align:center">显示</th>
</tr>
</thead>
<tbody>
<tr>
<td style="text-align:center">\epsilon</td>
<td style="text-align:center">E</td>
<td style="text-align:center">\varepsilon</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi>ϵ</mi><mo>∣</mo><mi>E</mi><mo>∣</mo><mi>ε</mi></mrow><annotation encoding="application/x-tex">\epsilon \mid E \mid \varepsilon</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.75em;"></span><span class="strut bottom" style="height:1em;vertical-align:-0.25em;"></span><span class="base"><span class="mord mathit">ϵ</span><span class="mord rule" style="margin-right:0.2777777777777778em;"></span><span class="mrel">∣</span><span class="mord rule" style="margin-right:0.2777777777777778em;"></span><span class="mord mathit" style="margin-right:0.05764em;">E</span><span class="mord rule" style="margin-right:0.2777777777777778em;"></span><span class="mrel">∣</span><span class="mord rule" style="margin-right:0.2777777777777778em;"></span><span class="mord mathit">ε</span></span></span></span></td>
</tr>
<tr>
<td style="text-align:center">\theta</td>
<td style="text-align:center">\Theta</td>
<td style="text-align:center">\vartheta</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi>θ</mi><mo>∣</mo><mi mathvariant="normal">Θ</mi><mo>∣</mo><mi>ϑ</mi></mrow><annotation encoding="application/x-tex">\theta \mid \Theta \mid \vartheta</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.75em;"></span><span class="strut bottom" style="height:1em;vertical-align:-0.25em;"></span><span class="base"><span class="mord mathit" style="margin-right:0.02778em;">θ</span><span class="mord rule" style="margin-right:0.2777777777777778em;"></span><span class="mrel">∣</span><span class="mord rule" style="margin-right:0.2777777777777778em;"></span><span class="mord">Θ</span><span class="mord rule" style="margin-right:0.2777777777777778em;"></span><span class="mrel">∣</span><span class="mord rule" style="margin-right:0.2777777777777778em;"></span><span class="mord mathit">ϑ</span></span></span></span></td>
</tr>
<tr>
<td style="text-align:center">\rho</td>
<td style="text-align:center">P</td>
<td style="text-align:center">\varrho</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi>ρ</mi><mo>∣</mo><mi>P</mi><mo>∣</mo><mi>ϱ</mi></mrow><annotation encoding="application/x-tex">\rho \mid P \mid \varrho</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.75em;"></span><span class="strut bottom" style="height:1em;vertical-align:-0.25em;"></span><span class="base"><span class="mord mathit">ρ</span><span class="mord rule" style="margin-right:0.2777777777777778em;"></span><span class="mrel">∣</span><span class="mord rule" style="margin-right:0.2777777777777778em;"></span><span class="mord mathit" style="margin-right:0.13889em;">P</span><span class="mord rule" style="margin-right:0.2777777777777778em;"></span><span class="mrel">∣</span><span class="mord rule" style="margin-right:0.2777777777777778em;"></span><span class="mord mathit">ϱ</span></span></span></span></td>
</tr>
<tr>
<td style="text-align:center">\sigma</td>
<td style="text-align:center">\Sigma</td>
<td style="text-align:center">\varsigma</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi>σ</mi><mo>∣</mo><mi mathvariant="normal">Σ</mi><mo>∣</mo><mi>ς</mi></mrow><annotation encoding="application/x-tex">\sigma \mid \Sigma \mid \varsigma</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.75em;"></span><span class="strut bottom" style="height:1em;vertical-align:-0.25em;"></span><span class="base"><span class="mord mathit" style="margin-right:0.03588em;">σ</span><span class="mord rule" style="margin-right:0.2777777777777778em;"></span><span class="mrel">∣</span><span class="mord rule" style="margin-right:0.2777777777777778em;"></span><span class="mord">Σ</span><span class="mord rule" style="margin-right:0.2777777777777778em;"></span><span class="mrel">∣</span><span class="mord rule" style="margin-right:0.2777777777777778em;"></span><span class="mord mathit" style="margin-right:0.07986em;">ς</span></span></span></span></td>
</tr>
<tr>
<td style="text-align:center">\phi</td>
<td style="text-align:center">\Phi</td>
<td style="text-align:center">\varphi</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi>ϕ</mi><mo>∣</mo><mi mathvariant="normal">Φ</mi><mo>∣</mo><mi>φ</mi></mrow><annotation encoding="application/x-tex">\phi \mid \Phi \mid \varphi</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.75em;"></span><span class="strut bottom" style="height:1em;vertical-align:-0.25em;"></span><span class="base"><span class="mord mathit">ϕ</span><span class="mord rule" style="margin-right:0.2777777777777778em;"></span><span class="mrel">∣</span><span class="mord rule" style="margin-right:0.2777777777777778em;"></span><span class="mord">Φ</span><span class="mord rule" style="margin-right:0.2777777777777778em;"></span><span class="mrel">∣</span><span class="mord rule" style="margin-right:0.2777777777777778em;"></span><span class="mord mathit">φ</span></span></span></span></td>
</tr>
</tbody>
</table>
<h2 class="mume-header" id="12%E5%A6%82%E4%BD%95%E8%BE%93%E5%85%A5%E5%85%B6%E5%AE%83%E7%89%B9%E6%AE%8A%E5%AD%97%E7%AC%A6">12．如何输入其它特殊字符</h2>

<blockquote>
<p><strong>若需要显示更大或更小的字符，在符号前插入 <code>\large</code> 或 <code>\small</code> 命令。</strong></p>
</blockquote>
<blockquote>
<p>若找不到需要的符号，使用 <a href="http://detexify.kirelabs.org/classify.html"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mrow><mrow><mi mathvariant="normal">D</mi><mi mathvariant="normal">e</mi><mi mathvariant="normal">t</mi><mi mathvariant="normal">e</mi><mi mathvariant="normal">x</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">f</mi><msup><mi mathvariant="normal">y</mi><mn>2</mn></msup></mrow></mrow></mrow><annotation encoding="application/x-tex">\rm{Detexify^2}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.8141079999999999em;"></span><span class="strut bottom" style="height:1.008548em;vertical-align:-0.19444em;"></span><span class="base"><span class="mord"><span class="mord"><span class="mord mathrm">D</span><span class="mord mathrm">e</span><span class="mord mathrm">t</span><span class="mord mathrm">e</span><span class="mord mathrm">x</span><span class="mord mathrm">i</span><span class="mord mathrm" style="margin-right:0.07778em;">f</span><span class="mord"><span class="mord mathrm" style="margin-right:0.01389em;">y</span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.8141079999999999em;"><span style="top:-3.063em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mathrm mtight">2</span></span></span></span></span></span></span></span></span></span></span></span></span></a> 来画出想要的符号。</p>
</blockquote>
<blockquote>
<p><img src="http://i.stack.imgur.com/ScK3R.png" alt="Detexify^2"></p>
</blockquote>
<h3 class="mume-header" id="1%E5%85%B3%E7%B3%BB%E8%BF%90%E7%AE%97%E7%AC%A6">(1)．关系运算符</h3>

<table>
<thead>
<tr>
<th style="text-align:center">输入</th>
<th style="text-align:center">显示</th>
<th style="text-align:center">输入</th>
<th style="text-align:center">显示</th>
<th style="text-align:center">输入</th>
<th style="text-align:center">显示</th>
<th style="text-align:center">输入</th>
<th style="text-align:center">显示</th>
</tr>
</thead>
<tbody>
<tr>
<td style="text-align:center">\pm</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mo>±</mo></mrow><annotation encoding="application/x-tex">\pm</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.58333em;"></span><span class="strut bottom" style="height:0.66666em;vertical-align:-0.08333em;"></span><span class="base"><span class="mord">±</span></span></span></span></td>
<td style="text-align:center">\times</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mo>×</mo></mrow><annotation encoding="application/x-tex">\times</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.58333em;"></span><span class="strut bottom" style="height:0.66666em;vertical-align:-0.08333em;"></span><span class="base"><span class="mord">×</span></span></span></span></td>
<td style="text-align:center">\div</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mo>÷</mo></mrow><annotation encoding="application/x-tex">\div</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.58333em;"></span><span class="strut bottom" style="height:0.66666em;vertical-align:-0.08333em;"></span><span class="base"><span class="mord">÷</span></span></span></span></td>
<td style="text-align:center">\mid</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mo>∣</mo></mrow><annotation encoding="application/x-tex">\mid</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.75em;"></span><span class="strut bottom" style="height:1em;vertical-align:-0.25em;"></span><span class="base"><span class="mrel">∣</span></span></span></span></td>
</tr>
<tr>
<td style="text-align:center">\nmid</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mo>∤</mo></mrow><annotation encoding="application/x-tex">\nmid</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.74111em;"></span><span class="strut bottom" style="height:0.99253em;vertical-align:-0.25142em;"></span><span class="base"><span class="mrel amsrm">∤</span></span></span></span></td>
<td style="text-align:center">\cdot</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mo>⋅</mo></mrow><annotation encoding="application/x-tex">\cdot</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.44445em;"></span><span class="strut bottom" style="height:0.44445em;vertical-align:0em;"></span><span class="base"><span class="mord">⋅</span></span></span></span></td>
<td style="text-align:center">\circ</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mo>∘</mo></mrow><annotation encoding="application/x-tex">\circ</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.44445em;"></span><span class="strut bottom" style="height:0.44445em;vertical-align:0em;"></span><span class="base"><span class="mord">∘</span></span></span></span></td>
<td style="text-align:center">\ast</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mo>∗</mo></mrow><annotation encoding="application/x-tex">\ast</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.46528em;"></span><span class="strut bottom" style="height:0.46528em;vertical-align:0em;"></span><span class="base"><span class="mord">∗</span></span></span></span></td>
</tr>
<tr>
<td style="text-align:center">\bigodot</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mo>⨀</mo></mrow><annotation encoding="application/x-tex">\bigodot</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.75em;"></span><span class="strut bottom" style="height:1.00001em;vertical-align:-0.25001em;"></span><span class="base"><span class="mop op-symbol small-op" style="position:relative;top:-0.0000050000000000050004em;">⨀</span></span></span></span></td>
<td style="text-align:center">\bigotimes</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mo>⨂</mo></mrow><annotation encoding="application/x-tex">\bigotimes</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.75em;"></span><span class="strut bottom" style="height:1.00001em;vertical-align:-0.25001em;"></span><span class="base"><span class="mop op-symbol small-op" style="position:relative;top:-0.0000050000000000050004em;">⨂</span></span></span></span></td>
<td style="text-align:center">\bigoplus</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mo>⨁</mo></mrow><annotation encoding="application/x-tex">\bigoplus</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.75em;"></span><span class="strut bottom" style="height:1.00001em;vertical-align:-0.25001em;"></span><span class="base"><span class="mop op-symbol small-op" style="position:relative;top:-0.0000050000000000050004em;">⨁</span></span></span></span></td>
<td style="text-align:center">\leq</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mo>≤</mo></mrow><annotation encoding="application/x-tex">\leq</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.63597em;"></span><span class="strut bottom" style="height:0.7719400000000001em;vertical-align:-0.13597em;"></span><span class="base"><span class="mrel">≤</span></span></span></span></td>
</tr>
<tr>
<td style="text-align:center">\geq</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mo>≥</mo></mrow><annotation encoding="application/x-tex">\geq</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.63597em;"></span><span class="strut bottom" style="height:0.7719400000000001em;vertical-align:-0.13597em;"></span><span class="base"><span class="mrel">≥</span></span></span></span></td>
<td style="text-align:center">\neq</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mo>≠</mo></mrow><annotation encoding="application/x-tex">\neq</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.716em;"></span><span class="strut bottom" style="height:0.9309999999999999em;vertical-align:-0.215em;"></span><span class="base"><span class="mrel">≠</span></span></span></span></td>
<td style="text-align:center">\approx</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mo>≈</mo></mrow><annotation encoding="application/x-tex">\approx</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.48312em;"></span><span class="strut bottom" style="height:0.48312em;vertical-align:0em;"></span><span class="base"><span class="mrel">≈</span></span></span></span></td>
<td style="text-align:center">\equiv</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mo>≡</mo></mrow><annotation encoding="application/x-tex">\equiv</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.46375em;"></span><span class="strut bottom" style="height:0.46375em;vertical-align:0em;"></span><span class="base"><span class="mrel">≡</span></span></span></span></td>
</tr>
<tr>
<td style="text-align:center">\sum</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mo>∑</mo></mrow><annotation encoding="application/x-tex">\sum</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.75em;"></span><span class="strut bottom" style="height:1.00001em;vertical-align:-0.25001em;"></span><span class="base"><span class="mop op-symbol small-op" style="position:relative;top:-0.0000050000000000050004em;">∑</span></span></span></span></td>
<td style="text-align:center">\prod</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mo>∏</mo></mrow><annotation encoding="application/x-tex">\prod</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.75em;"></span><span class="strut bottom" style="height:1.00001em;vertical-align:-0.25001em;"></span><span class="base"><span class="mop op-symbol small-op" style="position:relative;top:-0.0000050000000000050004em;">∏</span></span></span></span></td>
<td style="text-align:center">\coprod</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mo>∐</mo></mrow><annotation encoding="application/x-tex">\coprod</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.75em;"></span><span class="strut bottom" style="height:1.00001em;vertical-align:-0.25001em;"></span><span class="base"><span class="mop op-symbol small-op" style="position:relative;top:-0.0000050000000000050004em;">∐</span></span></span></span></td>
<td style="text-align:center">\backslash</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi mathvariant="normal">\</mi></mrow><annotation encoding="application/x-tex">\backslash</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.75em;"></span><span class="strut bottom" style="height:1em;vertical-align:-0.25em;"></span><span class="base"><span class="mord">\</span></span></span></span></td>
</tr>
</tbody>
</table>
<h3 class="mume-header" id="2%E9%9B%86%E5%90%88%E8%BF%90%E7%AE%97%E7%AC%A6">(2)．集合运算符</h3>

<table>
<thead>
<tr>
<th style="text-align:center">输入</th>
<th style="text-align:center">显示</th>
<th style="text-align:center">输入</th>
<th style="text-align:center">显示</th>
<th style="text-align:center">输入</th>
<th style="text-align:center">显示</th>
</tr>
</thead>
<tbody>
<tr>
<td style="text-align:center">\emptyset</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi mathvariant="normal">∅</mi></mrow><annotation encoding="application/x-tex">\emptyset</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.75em;"></span><span class="strut bottom" style="height:0.80556em;vertical-align:-0.05556em;"></span><span class="base"><span class="mord">∅</span></span></span></span></td>
<td style="text-align:center">\in</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mo>∈</mo></mrow><annotation encoding="application/x-tex">\in</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.5391em;"></span><span class="strut bottom" style="height:0.5782em;vertical-align:-0.0391em;"></span><span class="base"><span class="mrel">∈</span></span></span></span></td>
<td style="text-align:center">\notin</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mo>∉</mo></mrow><annotation encoding="application/x-tex">\notin</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0em;"></span><span class="strut bottom" style="height:0em;vertical-align:0em;"></span><span class="base"><span class="mrel">∉</span></span></span></span></td>
</tr>
<tr>
<td style="text-align:center">\subset</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mo>⊂</mo></mrow><annotation encoding="application/x-tex">\subset</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.5391em;"></span><span class="strut bottom" style="height:0.5782em;vertical-align:-0.0391em;"></span><span class="base"><span class="mrel">⊂</span></span></span></span></td>
<td style="text-align:center">\supset</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mo>⊃</mo></mrow><annotation encoding="application/x-tex">\supset</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.5391em;"></span><span class="strut bottom" style="height:0.5782em;vertical-align:-0.0391em;"></span><span class="base"><span class="mrel">⊃</span></span></span></span></td>
<td style="text-align:center">\subseteq</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mo>⊆</mo></mrow><annotation encoding="application/x-tex">\subseteq</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.63597em;"></span><span class="strut bottom" style="height:0.7719400000000001em;vertical-align:-0.13597em;"></span><span class="base"><span class="mrel">⊆</span></span></span></span></td>
</tr>
<tr>
<td style="text-align:center">\supseteq</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mo>⊇</mo></mrow><annotation encoding="application/x-tex">\supseteq</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.63597em;"></span><span class="strut bottom" style="height:0.7719400000000001em;vertical-align:-0.13597em;"></span><span class="base"><span class="mrel">⊇</span></span></span></span></td>
<td style="text-align:center">\bigcap</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mo>⋂</mo></mrow><annotation encoding="application/x-tex">\bigcap</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.75em;"></span><span class="strut bottom" style="height:1.00001em;vertical-align:-0.25001em;"></span><span class="base"><span class="mop op-symbol small-op" style="position:relative;top:-0.0000050000000000050004em;">⋂</span></span></span></span></td>
<td style="text-align:center">\bigcup</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mo>⋃</mo></mrow><annotation encoding="application/x-tex">\bigcup</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.75em;"></span><span class="strut bottom" style="height:1.00001em;vertical-align:-0.25001em;"></span><span class="base"><span class="mop op-symbol small-op" style="position:relative;top:-0.0000050000000000050004em;">⋃</span></span></span></span></td>
</tr>
<tr>
<td style="text-align:center">\bigvee</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mo>⋁</mo></mrow><annotation encoding="application/x-tex">\bigvee</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.75em;"></span><span class="strut bottom" style="height:1.00001em;vertical-align:-0.25001em;"></span><span class="base"><span class="mop op-symbol small-op" style="position:relative;top:-0.0000050000000000050004em;">⋁</span></span></span></span></td>
<td style="text-align:center">\bigwedge</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mo>⋀</mo></mrow><annotation encoding="application/x-tex">\bigwedge</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.75em;"></span><span class="strut bottom" style="height:1.00001em;vertical-align:-0.25001em;"></span><span class="base"><span class="mop op-symbol small-op" style="position:relative;top:-0.0000050000000000050004em;">⋀</span></span></span></span></td>
<td style="text-align:center">\biguplus</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mo>⨄</mo></mrow><annotation encoding="application/x-tex">\biguplus</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.75em;"></span><span class="strut bottom" style="height:1.00001em;vertical-align:-0.25001em;"></span><span class="base"><span class="mop op-symbol small-op" style="position:relative;top:-0.0000050000000000050004em;">⨄</span></span></span></span></td>
</tr>
</tbody>
</table>
<h3 class="mume-header" id="3%E5%AF%B9%E6%95%B0%E8%BF%90%E7%AE%97%E7%AC%A6">(3)．对数运算符</h3>

<table>
<thead>
<tr>
<th style="text-align:center">输入</th>
<th style="text-align:center">显示</th>
<th style="text-align:center">输入</th>
<th style="text-align:center">显示</th>
<th style="text-align:center">输入</th>
<th style="text-align:center">显示</th>
</tr>
</thead>
<tbody>
<tr>
<td style="text-align:center">\log</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi>log</mi><mo>⁡</mo></mrow><annotation encoding="application/x-tex">\log</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.69444em;"></span><span class="strut bottom" style="height:0.8888799999999999em;vertical-align:-0.19444em;"></span><span class="base"><span class="mop">lo<span style="margin-right:0.01389em;">g</span></span></span></span></span></td>
<td style="text-align:center">\lg</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi>lg</mi><mo>⁡</mo></mrow><annotation encoding="application/x-tex">\lg</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.69444em;"></span><span class="strut bottom" style="height:0.8888799999999999em;vertical-align:-0.19444em;"></span><span class="base"><span class="mop">l<span style="margin-right:0.01389em;">g</span></span></span></span></span></td>
<td style="text-align:center">\ln</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi>ln</mi><mo>⁡</mo></mrow><annotation encoding="application/x-tex">\ln</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.69444em;"></span><span class="strut bottom" style="height:0.69444em;vertical-align:0em;"></span><span class="base"><span class="mop">ln</span></span></span></span></td>
</tr>
</tbody>
</table>
<h3 class="mume-header" id="4%E4%B8%89%E8%A7%92%E8%BF%90%E7%AE%97%E7%AC%A6">(4)．三角运算符</h3>

<table>
<thead>
<tr>
<th style="text-align:center">输入</th>
<th style="text-align:center">显示</th>
<th style="text-align:center">输入</th>
<th style="text-align:center">显示</th>
<th style="text-align:center">输入</th>
<th style="text-align:center">显示</th>
</tr>
</thead>
<tbody>
<tr>
<td style="text-align:center">30^\circ</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mn>3</mn><msup><mn>0</mn><mo>∘</mo></msup></mrow><annotation encoding="application/x-tex">30^\circ</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.674115em;"></span><span class="strut bottom" style="height:0.674115em;vertical-align:0em;"></span><span class="base"><span class="mord">3</span><span class="mord"><span class="mord">0</span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.674115em;"><span style="top:-3.063em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mbin mtight">∘</span></span></span></span></span></span></span></span></span></span></span></td>
<td style="text-align:center">\bot</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi mathvariant="normal">⊥</mi></mrow><annotation encoding="application/x-tex">\bot</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.69444em;"></span><span class="strut bottom" style="height:0.69444em;vertical-align:0em;"></span><span class="base"><span class="mord">⊥</span></span></span></span></td>
<td style="text-align:center">\angle A</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi mathvariant="normal">∠</mi><mi>A</mi></mrow><annotation encoding="application/x-tex">\angle A</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.69224em;"></span><span class="strut bottom" style="height:0.69224em;vertical-align:0em;"></span><span class="base"><span class="mord">∠</span><span class="mord mathit">A</span></span></span></span></td>
</tr>
<tr>
<td style="text-align:center">\sin</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi>sin</mi><mo>⁡</mo></mrow><annotation encoding="application/x-tex">\sin</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.66786em;"></span><span class="strut bottom" style="height:0.66786em;vertical-align:0em;"></span><span class="base"><span class="mop">sin</span></span></span></span></td>
<td style="text-align:center">\cos</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi>cos</mi><mo>⁡</mo></mrow><annotation encoding="application/x-tex">\cos</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.43056em;"></span><span class="strut bottom" style="height:0.43056em;vertical-align:0em;"></span><span class="base"><span class="mop">cos</span></span></span></span></td>
<td style="text-align:center">\tan</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi>tan</mi><mo>⁡</mo></mrow><annotation encoding="application/x-tex">\tan</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.61508em;"></span><span class="strut bottom" style="height:0.61508em;vertical-align:0em;"></span><span class="base"><span class="mop">tan</span></span></span></span></td>
</tr>
<tr>
<td style="text-align:center">\csc</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi>csc</mi><mo>⁡</mo></mrow><annotation encoding="application/x-tex">\csc</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.43056em;"></span><span class="strut bottom" style="height:0.43056em;vertical-align:0em;"></span><span class="base"><span class="mop">csc</span></span></span></span></td>
<td style="text-align:center">\sec</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi>sec</mi><mo>⁡</mo></mrow><annotation encoding="application/x-tex">\sec</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.43056em;"></span><span class="strut bottom" style="height:0.43056em;vertical-align:0em;"></span><span class="base"><span class="mop">sec</span></span></span></span></td>
<td style="text-align:center">\cot</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi>cot</mi><mo>⁡</mo></mrow><annotation encoding="application/x-tex">\cot</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.61508em;"></span><span class="strut bottom" style="height:0.61508em;vertical-align:0em;"></span><span class="base"><span class="mop">cot</span></span></span></span></td>
</tr>
</tbody>
</table>
<h3 class="mume-header" id="5%E5%BE%AE%E7%A7%AF%E5%88%86%E8%BF%90%E7%AE%97%E7%AC%A6">(5)．微积分运算符</h3>

<table>
<thead>
<tr>
<th style="text-align:center">输入</th>
<th style="text-align:center">显示</th>
<th style="text-align:center">输入</th>
<th style="text-align:center">显示</th>
<th style="text-align:center">输入</th>
<th style="text-align:center">显示</th>
</tr>
</thead>
<tbody>
<tr>
<td style="text-align:center">\int</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mo>∫</mo></mrow><annotation encoding="application/x-tex">\int</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.805em;"></span><span class="strut bottom" style="height:1.11112em;vertical-align:-0.30612em;"></span><span class="base"><span class="mop op-symbol small-op" style="margin-right:0.19445em;position:relative;top:-0.0005599999999999772em;">∫</span></span></span></span></td>
<td style="text-align:center">\iint</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mo>∬</mo></mrow><annotation encoding="application/x-tex">\iint</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.805em;"></span><span class="strut bottom" style="height:1.111em;vertical-align:-0.306em;"></span><span class="base"><span class="mop op-symbol small-op" style="margin-right:0.19445em;position:relative;top:-0.0004999999999999727em;">∬</span></span></span></span></td>
<td style="text-align:center">\iiint</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mo>∭</mo></mrow><annotation encoding="application/x-tex">\iiint</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.805em;"></span><span class="strut bottom" style="height:1.111em;vertical-align:-0.306em;"></span><span class="base"><span class="mop op-symbol small-op" style="margin-right:0.19445em;position:relative;top:-0.0004999999999999727em;">∭</span></span></span></span></td>
</tr>
<tr>
<td style="text-align:center">\iiiint</td>
<td style="text-align:center"><span style="color: #ee7f49; font-weight: 500;">ParseError: KaTeX parse error: Expected 'EOF', got '\iiiint' at position 1: \̲i̲i̲i̲i̲n̲t̲</span></td>
<td style="text-align:center">\oint</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mo>∮</mo></mrow><annotation encoding="application/x-tex">\oint</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.805em;"></span><span class="strut bottom" style="height:1.11112em;vertical-align:-0.30612em;"></span><span class="base"><span class="mop op-symbol small-op" style="margin-right:0.19445em;position:relative;top:-0.0005599999999999772em;">∮</span></span></span></span></td>
<td style="text-align:center">\prime</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mo mathvariant="normal">′</mo></mrow><annotation encoding="application/x-tex">\prime</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.55556em;"></span><span class="strut bottom" style="height:0.55556em;vertical-align:0em;"></span><span class="base"><span class="mord">′</span></span></span></span></td>
</tr>
<tr>
<td style="text-align:center">\lim</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi>lim</mi><mo>⁡</mo></mrow><annotation encoding="application/x-tex">\lim</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.69444em;"></span><span class="strut bottom" style="height:0.69444em;vertical-align:0em;"></span><span class="base"><span class="mop">lim</span></span></span></span></td>
<td style="text-align:center">\infty</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi mathvariant="normal">∞</mi></mrow><annotation encoding="application/x-tex">\infty</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.43056em;"></span><span class="strut bottom" style="height:0.43056em;vertical-align:0em;"></span><span class="base"><span class="mord">∞</span></span></span></span></td>
<td style="text-align:center">\nabla</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi mathvariant="normal">∇</mi></mrow><annotation encoding="application/x-tex">\nabla</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.68333em;"></span><span class="strut bottom" style="height:0.68333em;vertical-align:0em;"></span><span class="base"><span class="mord">∇</span></span></span></span></td>
</tr>
</tbody>
</table>
<h3 class="mume-header" id="6%E9%80%BB%E8%BE%91%E8%BF%90%E7%AE%97%E7%AC%A6">(6)．逻辑运算符</h3>

<table>
<thead>
<tr>
<th style="text-align:center">输入</th>
<th style="text-align:center">显示</th>
<th style="text-align:center">输入</th>
<th style="text-align:center">显示</th>
<th style="text-align:center">输入</th>
<th style="text-align:center">显示</th>
</tr>
</thead>
<tbody>
<tr>
<td style="text-align:center">\because</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mo>∵</mo></mrow><annotation encoding="application/x-tex">\because</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.69224em;"></span><span class="strut bottom" style="height:0.69224em;vertical-align:0em;"></span><span class="base"><span class="mrel amsrm">∵</span></span></span></span></td>
<td style="text-align:center">\therefore</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mo>∴</mo></mrow><annotation encoding="application/x-tex">\therefore</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.69224em;"></span><span class="strut bottom" style="height:0.69224em;vertical-align:0em;"></span><span class="base"><span class="mrel amsrm">∴</span></span></span></span></td>
<td style="text-align:center"></td>
<td style="text-align:center"></td>
</tr>
<tr>
<td style="text-align:center">\forall</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi mathvariant="normal">∀</mi></mrow><annotation encoding="application/x-tex">\forall</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.69444em;"></span><span class="strut bottom" style="height:0.69444em;vertical-align:0em;"></span><span class="base"><span class="mord">∀</span></span></span></span></td>
<td style="text-align:center">\exists</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi mathvariant="normal">∃</mi></mrow><annotation encoding="application/x-tex">\exists</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.69444em;"></span><span class="strut bottom" style="height:0.69444em;vertical-align:0em;"></span><span class="base"><span class="mord">∃</span></span></span></span></td>
<td style="text-align:center">\not\subset</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mo≯</mo><mo>⊂</mo></mrow><annotation encoding="application/x-tex">\not\subset</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.69444em;"></span><span class="strut bottom" style="height:0.8888799999999999em;vertical-align:-0.19444em;"></span><span class="base"><span class="mrel latin_fallback" style="position:absolute;padding-left:0.8em;"≯</span><span class="mrel">⊂</span></span></span></span></td>
</tr>
<tr>
<td style="text-align:center">\not&lt;</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mo≯</mo><mo>&lt;</mo></mrow><annotation encoding="application/x-tex">\not&lt;</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.69444em;"></span><span class="strut bottom" style="height:0.8888799999999999em;vertical-align:-0.19444em;"></span><span class="base"><span class="mrel latin_fallback" style="position:absolute;padding-left:0.8em;"≯</span><span class="mrel">&lt;</span></span></span></span></td>
<td style="text-align:center">\not&gt;</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mo≯</mo><mo>&gt;</mo></mrow><annotation encoding="application/x-tex">\not&gt;</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.69444em;"></span><span class="strut bottom" style="height:0.8888799999999999em;vertical-align:-0.19444em;"></span><span class="base"><span class="mrel latin_fallback" style="position:absolute;padding-left:0.8em;"≯</span><span class="mrel">&gt;</span></span></span></span></td>
<td style="text-align:center">\not=</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mo≯</mo><mo>=</mo></mrow><annotation encoding="application/x-tex">\not=</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.69444em;"></span><span class="strut bottom" style="height:0.8888799999999999em;vertical-align:-0.19444em;"></span><span class="base"><span class="mrel latin_fallback" style="position:absolute;padding-left:0.8em;"≯</span><span class="mrel">=</span></span></span></span></td>
</tr>
</tbody>
</table>
<h3 class="mume-header" id="7%E6%88%B4%E5%B8%BD%E7%AC%A6%E5%8F%B7">(7)．戴帽符号</h3>

<table>
<thead>
<tr>
<th style="text-align:center">输入</th>
<th style="text-align:center">显示</th>
<th style="text-align:center">输入</th>
<th style="text-align:center">显示</th>
</tr>
</thead>
<tbody>
<tr>
<td style="text-align:center">\hat{xy}</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mover accent="true"><mrow><mi>x</mi><mi>y</mi></mrow><mo>^</mo></mover></mrow><annotation encoding="application/x-tex">\hat{xy}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.69444em;"></span><span class="strut bottom" style="height:0.8888799999999999em;vertical-align:-0.19444em;"></span><span class="base"><span class="mord accent"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.69444em;"><span style="top:-3em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord mathit">x</span><span class="mord mathit" style="margin-right:0.03588em;">y</span></span></span><span style="top:-3em;"><span class="pstrut" style="height:3em;"></span><span class="accent-body" style="left:-0.25em;">^</span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.19444em;"></span></span></span></span></span></span></span></td>
<td style="text-align:center">\widehat{xyz}</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mover accent="true"><mrow><mi>x</mi><mi>y</mi><mi>z</mi></mrow><mo stretchy="true">^</mo></mover></mrow><annotation encoding="application/x-tex">\widehat{xyz}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.73056em;"></span><span class="strut bottom" style="height:0.925em;vertical-align:-0.19444em;"></span><span class="base"><span class="mord accent"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.73056em;"><span style="top:-3em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord mathit">x</span><span class="mord mathit" style="margin-right:0.03588em;">y</span><span class="mord mathit" style="margin-right:0.04398em;">z</span></span></span><span class="svg-align" style="top:-3.43056em;"><span class="pstrut" style="height:3em;"></span><span style="height:0.3em;"><svg width="100%" height="0.3em" viewBox="0 0 2364 300" preserveAspectRatio="none"><path d="M1181 0h2l1171 176c6 0 10 5 10 11l-2 23c-1 6-5 10
-11 10h-1L1182 67 15 220h-1c-6 0-10-4-11-10l-2-23c-1-6 4-11 10-11z"></path></svg></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.19444em;"></span></span></span></span></span></span></span></td>
</tr>
<tr>
<td style="text-align:center">\tilde{xy}</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mover accent="true"><mrow><mi>x</mi><mi>y</mi></mrow><mo>~</mo></mover></mrow><annotation encoding="application/x-tex">\tilde{xy}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.6678599999999999em;"></span><span class="strut bottom" style="height:0.8622999999999998em;vertical-align:-0.19444em;"></span><span class="base"><span class="mord accent"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.6678599999999999em;"><span style="top:-3em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord mathit">x</span><span class="mord mathit" style="margin-right:0.03588em;">y</span></span></span><span style="top:-3.35em;"><span class="pstrut" style="height:3em;"></span><span class="accent-body" style="left:-0.25em;">~</span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.19444em;"></span></span></span></span></span></span></span></td>
<td style="text-align:center">\widetilde{xyz}</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mover accent="true"><mrow><mi>x</mi><mi>y</mi><mi>z</mi></mrow><mo stretchy="true">~</mo></mover></mrow><annotation encoding="application/x-tex">\widetilde{xyz}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.71656em;"></span><span class="strut bottom" style="height:0.911em;vertical-align:-0.19444em;"></span><span class="base"><span class="mord accent"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.71656em;"><span style="top:-3em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord mathit">x</span><span class="mord mathit" style="margin-right:0.03588em;">y</span><span class="mord mathit" style="margin-right:0.04398em;">z</span></span></span><span class="svg-align" style="top:-3.43056em;"><span class="pstrut" style="height:3em;"></span><span style="height:0.286em;"><svg width="100%" height="0.286em" viewBox="0 0 1033 286" preserveAspectRatio="none"><path d="M344 55.266c-142 0-300.638 81.316-311.5 86.418
-8.01 3.762-22.5 10.91-23.5 5.562L1 120c-1-2-1-3-1-4 0-5 3-9 8-10l18.4-9C160.9
 31.9 283 0 358 0c148 0 188 122 331 122s314-97 326-97c4 0 8 2 10 7l7 21.114
c1 2.14 1 3.21 1 4.28 0 5.347-3 9.626-7 10.696l-22.3 12.622C852.6 158.372 751
 181.476 676 181.476c-149 0-189-126.21-332-126.21z"></path></svg></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.19444em;"></span></span></span></span></span></span></span></td>
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<td style="text-align:center">\check{x}</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mover accent="true"><mrow><mi>x</mi></mrow><mo>ˇ</mo></mover></mrow><annotation encoding="application/x-tex">\check{x}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.62847em;"></span><span class="strut bottom" style="height:0.62847em;vertical-align:0em;"></span><span class="base"><span class="mord accent"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.62847em;"><span style="top:-3em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord mathit">x</span></span></span><span style="top:-3em;"><span class="pstrut" style="height:3em;"></span><span class="accent-body" style="left:-0.22222em;">ˇ</span></span></span></span></span></span></span></span></span></td>
<td style="text-align:center">\breve{y}</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mover accent="true"><mrow><mi>y</mi></mrow><mo>˘</mo></mover></mrow><annotation encoding="application/x-tex">\breve{y}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.69444em;"></span><span class="strut bottom" style="height:0.8888799999999999em;vertical-align:-0.19444em;"></span><span class="base"><span class="mord accent"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.69444em;"><span style="top:-3em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord mathit" style="margin-right:0.03588em;">y</span></span></span><span style="top:-3em;"><span class="pstrut" style="height:3em;"></span><span class="accent-body" style="left:-0.19444em;">˘</span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.19444em;"></span></span></span></span></span></span></span></td>
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<td style="text-align:center">\grave{x}</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mover accent="true"><mrow><mi>x</mi></mrow><mo>ˋ</mo></mover></mrow><annotation encoding="application/x-tex">\grave{x}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.69444em;"></span><span class="strut bottom" style="height:0.69444em;vertical-align:0em;"></span><span class="base"><span class="mord accent"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.69444em;"><span style="top:-3em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord mathit">x</span></span></span><span style="top:-3em;"><span class="pstrut" style="height:3em;"></span><span class="accent-body" style="left:-0.22222em;">ˋ</span></span></span></span></span></span></span></span></span></td>
<td style="text-align:center">\acute{y}</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mover accent="true"><mrow><mi>y</mi></mrow><mo>ˊ</mo></mover></mrow><annotation encoding="application/x-tex">\acute{y}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.69444em;"></span><span class="strut bottom" style="height:0.8888799999999999em;vertical-align:-0.19444em;"></span><span class="base"><span class="mord accent"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.69444em;"><span style="top:-3em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord mathit" style="margin-right:0.03588em;">y</span></span></span><span style="top:-3em;"><span class="pstrut" style="height:3em;"></span><span class="accent-body" style="left:-0.19444em;">ˊ</span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.19444em;"></span></span></span></span></span></span></span></td>
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</table>
<h3 class="mume-header" id="8%E8%BF%9E%E7%BA%BF%E7%AC%A6%E5%8F%B7">(8)．连线符号</h3>

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<th style="text-align:center">输入</th>
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<td style="text-align:center">\fbox{a+b+c+d}</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><menclose notation="box"><mrow><mi>a</mi><mo>+</mo><mi>b</mi><mo>+</mo><mi>c</mi><mo>+</mo><mi>d</mi></mrow></menclose></mrow><annotation encoding="application/x-tex">\fbox{a+b+c+d}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:1.03444em;"></span><span class="strut bottom" style="height:1.45777em;vertical-align:-0.42333em;"></span><span class="base"><span class="mord"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.03444em;"><span style="top:-3.45777em;"><span class="pstrut" style="height:3.45777em;"></span><span class="mord boxpad"><span class="mord mathit">a</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mbin">+</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mord mathit">b</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mbin">+</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mord mathit">c</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mbin">+</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mord mathit">d</span></span></span><span style="top:-3.03444em;"><span class="pstrut" style="height:3.45777em;"></span><span class="stretchy fbox" style="height:1.45777em;"></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.42333em;"></span></span></span></span></span></span></span></td>
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<td style="text-align:center">\overleftarrow{a+b+c+d}</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mover accent="true"><mrow><mi>a</mi><mo>+</mo><mi>b</mi><mo>+</mo><mi>c</mi><mo>+</mo><mi>d</mi></mrow><mo stretchy="true">←</mo></mover></mrow><annotation encoding="application/x-tex">\overleftarrow{a+b+c+d}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:1.21644em;"></span><span class="strut bottom" style="height:1.2997699999999999em;vertical-align:-0.08333em;"></span><span class="base"><span class="mord accent"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.21644em;"><span style="top:-3em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord mathit">a</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mbin">+</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mord mathit">b</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mbin">+</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mord mathit">c</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mbin">+</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mord mathit">d</span></span></span><span class="svg-align" style="top:-3.69444em;"><span class="pstrut" style="height:3em;"></span><span class="hide-tail" style="height:0.522em;min-width:0.888em;"><svg width="400em" height="0.522em" viewBox="0 0 400000 522" preserveAspectRatio="xMinYMin slice"><path d="M400000 241H110l3-3c68.7-52.7 113.7-120
 135-202 4-14.7 6-23 6-25 0-7.3-7-11-21-11-8 0-13.2.8-15.5 2.5-2.3 1.7-4.2 5.8
-5.5 12.5-1.3 4.7-2.7 10.3-4 17-12 48.7-34.8 92-68.5 130S65.3 228.3 18 247
c-10 4-16 7.7-18 11 0 8.7 6 14.3 18 17 47.3 18.7 87.8 47 121.5 85S196 441.3 208
 490c.7 2 1.3 5 2 9s1.2 6.7 1.5 8c.3 1.3 1 3.3 2 6s2.2 4.5 3.5 5.5c1.3 1 3.3
 1.8 6 2.5s6 1 10 1c14 0 21-3.7 21-11 0-2-2-10.3-6-25-20-79.3-65-146.7-135-202
 l-3-3h399890zM100 241v40h399900v-40z"></path></svg></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.08333em;"></span></span></span></span></span></span></span></td>
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<td style="text-align:center">\overrightarrow{a+b+c+d}</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mover accent="true"><mrow><mi>a</mi><mo>+</mo><mi>b</mi><mo>+</mo><mi>c</mi><mo>+</mo><mi>d</mi></mrow><mo stretchy="true">→</mo></mover></mrow><annotation encoding="application/x-tex">\overrightarrow{a+b+c+d}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:1.21644em;"></span><span class="strut bottom" style="height:1.2997699999999999em;vertical-align:-0.08333em;"></span><span class="base"><span class="mord accent"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.21644em;"><span style="top:-3em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord mathit">a</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mbin">+</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mord mathit">b</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mbin">+</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mord mathit">c</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mbin">+</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mord mathit">d</span></span></span><span class="svg-align" style="top:-3.69444em;"><span class="pstrut" style="height:3em;"></span><span class="hide-tail" style="height:0.522em;min-width:0.888em;"><svg width="400em" height="0.522em" viewBox="0 0 400000 522" preserveAspectRatio="xMaxYMin slice"><path d="M0 241v40h399891c-47.3 35.3-84 78-110 128
-16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20
 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7
 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85
-40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5
-12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67
 151.7 139 205zm0 0v40h399900v-40z"></path></svg></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.08333em;"></span></span></span></span></span></span></span></td>
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<td style="text-align:center">\overleftrightarrow{a+b+c+d}</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mover accent="true"><mrow><mi>a</mi><mo>+</mo><mi>b</mi><mo>+</mo><mi>c</mi><mo>+</mo><mi>d</mi></mrow><mo stretchy="true">↔</mo></mover></mrow><annotation encoding="application/x-tex">\overleftrightarrow{a+b+c+d}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:1.21644em;"></span><span class="strut bottom" style="height:1.2997699999999999em;vertical-align:-0.08333em;"></span><span class="base"><span class="mord accent"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.21644em;"><span style="top:-3em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord mathit">a</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mbin">+</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mord mathit">b</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mbin">+</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mord mathit">c</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mbin">+</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mord mathit">d</span></span></span><span class="svg-align" style="top:-3.69444em;"><span class="pstrut" style="height:3em;"></span><span class="stretchy" style="height:0.522em;min-width:0.888em;"><span class="halfarrow-left" style="height:0.522em;"><svg width="400em" height="0.522em" viewBox="0 0 400000 522" preserveAspectRatio="xMinYMin slice"><path d="M400000 241H110l3-3c68.7-52.7 113.7-120
 135-202 4-14.7 6-23 6-25 0-7.3-7-11-21-11-8 0-13.2.8-15.5 2.5-2.3 1.7-4.2 5.8
-5.5 12.5-1.3 4.7-2.7 10.3-4 17-12 48.7-34.8 92-68.5 130S65.3 228.3 18 247
c-10 4-16 7.7-18 11 0 8.7 6 14.3 18 17 47.3 18.7 87.8 47 121.5 85S196 441.3 208
 490c.7 2 1.3 5 2 9s1.2 6.7 1.5 8c.3 1.3 1 3.3 2 6s2.2 4.5 3.5 5.5c1.3 1 3.3
 1.8 6 2.5s6 1 10 1c14 0 21-3.7 21-11 0-2-2-10.3-6-25-20-79.3-65-146.7-135-202
 l-3-3h399890zM100 241v40h399900v-40z"></path></svg></span><span class="halfarrow-right" style="height:0.522em;"><svg width="400em" height="0.522em" viewBox="0 0 400000 522" preserveAspectRatio="xMaxYMin slice"><path d="M0 241v40h399891c-47.3 35.3-84 78-110 128
-16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20
 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7
 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85
-40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5
-12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67
 151.7 139 205zm0 0v40h399900v-40z"></path></svg></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.08333em;"></span></span></span></span></span></span></span></td>
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<td style="text-align:center">\underleftarrow{a+b+c+d}</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><munder accentunder="true"><mrow></mrow><mo stretchy="true">←</mo></munder></mrow><annotation encoding="application/x-tex">\underleftarrow{a+b+c+d}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.77777em;"></span><span class="strut bottom" style="height:1.29977em;vertical-align:-0.522em;"></span><span class="base"><span class="mord accentunder"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.77777em;"><span class="svg-align" style="top:-2.4779999999999998em;"><span class="pstrut" style="height:3em;"></span><span class="hide-tail" style="height:0.522em;min-width:0.888em;"><svg width="400em" height="0.522em" viewBox="0 0 400000 522" preserveAspectRatio="xMinYMin slice"><path d="M400000 241H110l3-3c68.7-52.7 113.7-120
 135-202 4-14.7 6-23 6-25 0-7.3-7-11-21-11-8 0-13.2.8-15.5 2.5-2.3 1.7-4.2 5.8
-5.5 12.5-1.3 4.7-2.7 10.3-4 17-12 48.7-34.8 92-68.5 130S65.3 228.3 18 247
c-10 4-16 7.7-18 11 0 8.7 6 14.3 18 17 47.3 18.7 87.8 47 121.5 85S196 441.3 208
 490c.7 2 1.3 5 2 9s1.2 6.7 1.5 8c.3 1.3 1 3.3 2 6s2.2 4.5 3.5 5.5c1.3 1 3.3
 1.8 6 2.5s6 1 10 1c14 0 21-3.7 21-11 0-2-2-10.3-6-25-20-79.3-65-146.7-135-202
 l-3-3h399890zM100 241v40h399900v-40z"></path></svg></span></span><span style="top:-3.08333em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord mathit">a</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mbin">+</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mord mathit">b</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mbin">+</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mord mathit">c</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mbin">+</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mord mathit">d</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.522em;"></span></span></span></span></span></span></span></td>
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<tr>
<td style="text-align:center">\underrightarrow{a+b+c+d}</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><munder accentunder="true"><mrow></mrow><mo stretchy="true">→</mo></munder></mrow><annotation encoding="application/x-tex">\underrightarrow{a+b+c+d}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.77777em;"></span><span class="strut bottom" style="height:1.29977em;vertical-align:-0.522em;"></span><span class="base"><span class="mord accentunder"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.77777em;"><span class="svg-align" style="top:-2.4779999999999998em;"><span class="pstrut" style="height:3em;"></span><span class="hide-tail" style="height:0.522em;min-width:0.888em;"><svg width="400em" height="0.522em" viewBox="0 0 400000 522" preserveAspectRatio="xMaxYMin slice"><path d="M0 241v40h399891c-47.3 35.3-84 78-110 128
-16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20
 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7
 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85
-40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5
-12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67
 151.7 139 205zm0 0v40h399900v-40z"></path></svg></span></span><span style="top:-3.08333em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord mathit">a</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mbin">+</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mord mathit">b</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mbin">+</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mord mathit">c</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mbin">+</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mord mathit">d</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.522em;"></span></span></span></span></span></span></span></td>
</tr>
<tr>
<td style="text-align:center">\underleftrightarrow{a+b+c+d}</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><munder accentunder="true"><mrow></mrow><mo stretchy="true">↔</mo></munder></mrow><annotation encoding="application/x-tex">\underleftrightarrow{a+b+c+d}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.77777em;"></span><span class="strut bottom" style="height:1.29977em;vertical-align:-0.522em;"></span><span class="base"><span class="mord accentunder"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.77777em;"><span class="svg-align" style="top:-2.4779999999999998em;"><span class="pstrut" style="height:3em;"></span><span class="stretchy" style="height:0.522em;min-width:0.888em;"><span class="halfarrow-left" style="height:0.522em;"><svg width="400em" height="0.522em" viewBox="0 0 400000 522" preserveAspectRatio="xMinYMin slice"><path d="M400000 241H110l3-3c68.7-52.7 113.7-120
 135-202 4-14.7 6-23 6-25 0-7.3-7-11-21-11-8 0-13.2.8-15.5 2.5-2.3 1.7-4.2 5.8
-5.5 12.5-1.3 4.7-2.7 10.3-4 17-12 48.7-34.8 92-68.5 130S65.3 228.3 18 247
c-10 4-16 7.7-18 11 0 8.7 6 14.3 18 17 47.3 18.7 87.8 47 121.5 85S196 441.3 208
 490c.7 2 1.3 5 2 9s1.2 6.7 1.5 8c.3 1.3 1 3.3 2 6s2.2 4.5 3.5 5.5c1.3 1 3.3
 1.8 6 2.5s6 1 10 1c14 0 21-3.7 21-11 0-2-2-10.3-6-25-20-79.3-65-146.7-135-202
 l-3-3h399890zM100 241v40h399900v-40z"></path></svg></span><span class="halfarrow-right" style="height:0.522em;"><svg width="400em" height="0.522em" viewBox="0 0 400000 522" preserveAspectRatio="xMaxYMin slice"><path d="M0 241v40h399891c-47.3 35.3-84 78-110 128
-16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20
 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7
 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85
-40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5
-12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67
 151.7 139 205zm0 0v40h399900v-40z"></path></svg></span></span></span><span style="top:-3.08333em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord mathit">a</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mbin">+</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mord mathit">b</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mbin">+</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mord mathit">c</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mbin">+</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mord mathit">d</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.522em;"></span></span></span></span></span></span></span></td>
</tr>
<tr>
<td style="text-align:center">\overline{a+b+c+d}</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mover accent="true"><mrow><mi>a</mi><mo>+</mo><mi>b</mi><mo>+</mo><mi>c</mi><mo>+</mo><mi>d</mi></mrow><mo stretchy="true">‾</mo></mover></mrow><annotation encoding="application/x-tex">\overline{a+b+c+d}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.77444em;"></span><span class="strut bottom" style="height:0.85777em;vertical-align:-0.08333em;"></span><span class="base"><span class="mord overline"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.77444em;"><span style="top:-3em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord mathit">a</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mbin">+</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mord mathit">b</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mbin">+</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mord mathit">c</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mbin">+</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mord mathit">d</span></span></span><span style="top:-3.73444em;"><span class="pstrut" style="height:3em;"></span><span class="stretchy" style="height:0.2em;"><svg width="400em" height="0.2em" viewBox="0 0 400000 200" preserveAspectRatio="xMinYMin slice"><path d="M0 80H400000 v40H0z M0 80H400000 v40H0z"></path></svg></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.08333em;"></span></span></span></span></span></span></span></td>
</tr>
<tr>
<td style="text-align:center">\underline{a+b+c+d}</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><munder accentunder="true"><mrow><mi>a</mi><mo>+</mo><mi>b</mi><mo>+</mo><mi>c</mi><mo>+</mo><mi>d</mi></mrow><mo stretchy="true">‾</mo></munder></mrow><annotation encoding="application/x-tex">\underline{a+b+c+d}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.69444em;"></span><span class="strut bottom" style="height:1.01777em;vertical-align:-0.32333000000000006em;"></span><span class="base"><span class="mord underline"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.69444em;"><span style="top:-2.67667em;"><span class="pstrut" style="height:3em;"></span><span class="stretchy" style="height:0.2em;"><svg width="400em" height="0.2em" viewBox="0 0 400000 200" preserveAspectRatio="xMinYMin slice"><path d="M0 80H400000 v40H0z M0 80H400000 v40H0z"></path></svg></span></span><span style="top:-3em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord mathit">a</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mbin">+</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mord mathit">b</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mbin">+</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mord mathit">c</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mbin">+</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mord mathit">d</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.32333000000000006em;"></span></span></span></span></span></span></span></td>
</tr>
<tr>
<td style="text-align:center">\overbrace{a+b+c+d}^{Sample}</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mover><mover><mrow><mi>a</mi><mo>+</mo><mi>b</mi><mo>+</mo><mi>c</mi><mo>+</mo><mi>d</mi></mrow><mo stretchy="true">⏞</mo></mover><mrow><mi>S</mi><mi>a</mi><mi>m</mi><mi>p</mi><mi>l</mi><mi>e</mi></mrow></mover></mrow><annotation encoding="application/x-tex">\overbrace{a+b+c+d}^{Sample}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:2.164656em;"></span><span class="strut bottom" style="height:2.247986em;vertical-align:-0.08333em;"></span><span class="base"><span class="mord mover"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:2.164656em;"><span style="top:-3.34244em;"><span class="pstrut" style="height:3.34244em;"></span><span class="mord mover"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.3424399999999999em;"><span style="top:-3em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord mathit">a</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mbin">+</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mord mathit">b</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mbin">+</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mord mathit">c</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mbin">+</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mord mathit">d</span></span></span><span class="svg-align" style="top:-3.79444em;"><span class="pstrut" style="height:3em;"></span><span class="stretchy" style="height:0.548em;min-width:1.6em;"><span class="brace-left" style="height:0.548em;"><svg width="400em" height="0.548em" viewBox="0 0 400000 548" preserveAspectRatio="xMinYMin slice"><path d="M6 548l-6-6v-35l6-11c56-104 135.3-181.3 238-232 57.3-28.7 117
-45 179-50h399577v120H403c-43.3 7-81 15-113 26-100.7 33-179.7 91-237 174-2.7
 5-6 9-10 13-.7 1-7.3 1-20 1H6z"></path></svg></span><span class="brace-center" style="height:0.548em;"><svg width="400em" height="0.548em" viewBox="0 0 400000 548" preserveAspectRatio="xMidYMin slice"><path d="M200428 334
c-100.7-8.3-195.3-44-280-108-55.3-42-101.7-93-139-153l-9-14c-2.7 4-5.7 8.7-9 14
-53.3 86.7-123.7 153-211 199-66.7 36-137.3 56.3-212 62H0V214h199568c178.3-11.7
 311.7-78.3 403-201 6-8 9.7-12 11-12 .7-.7 6.7-1 18-1s17.3.3 18 1c1.3 0 5 4 11
 12 44.7 59.3 101.3 106.3 170 141s145.3 54.3 229 60h199572v120z"></path></svg></span><span class="brace-right" style="height:0.548em;"><svg width="400em" height="0.548em" viewBox="0 0 400000 548" preserveAspectRatio="xMaxYMin slice"><path d="M400000 542l
-6 6h-17c-12.7 0-19.3-.3-20-1-4-4-7.3-8.3-10-13-35.3-51.3-80.8-93.8-136.5-127.5
s-117.2-55.8-184.5-66.5c-.7 0-2-.3-4-1-18.7-2.7-76-4.3-172-5H0V214h399571l6 1
c124.7 8 235 61.7 331 161 31.3 33.3 59.7 72.7 85 118l7 13v35z"></path></svg></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.08333em;"></span></span></span></span></span><span style="top:-5.020988em;"><span class="pstrut" style="height:3.34244em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mathit mtight" style="margin-right:0.05764em;">S</span><span class="mord mathit mtight">a</span><span class="mord mathit mtight">m</span><span class="mord mathit mtight">p</span><span class="mord mathit mtight" style="margin-right:0.01968em;">l</span><span class="mord mathit mtight">e</span></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.08333em;"></span></span></span></span></span></span></span></td>
</tr>
<tr>
<td style="text-align:center">\underbrace{a+b+c+d}_{Sample}</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><munder><munder><mrow><mi>a</mi><mo>+</mo><mi>b</mi><mo>+</mo><mi>c</mi><mo>+</mo><mi>d</mi></mrow><mo stretchy="true">⎵</mo></munder><mrow><mi>S</mi><mi>a</mi><mi>m</mi><mi>p</mi><mi>l</mi><mi>e</mi></mrow></munder></mrow><annotation encoding="application/x-tex">\underbrace{a+b+c+d}_{Sample}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.8305479999999998em;"></span><span class="strut bottom" style="height:2.247986em;vertical-align:-1.417438em;"></span><span class="base"><span class="mord munder"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.8305479999999998em;"><span style="top:-1.71867em;"><span class="pstrut" style="height:3em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mathit mtight" style="margin-right:0.05764em;">S</span><span class="mord mathit mtight">a</span><span class="mord mathit mtight">m</span><span class="mord mathit mtight">p</span><span class="mord mathit mtight" style="margin-right:0.01968em;">l</span><span class="mord mathit mtight">e</span></span></span></span><span style="top:-3.136108em;"><span class="pstrut" style="height:3em;"></span><span class="mord munder"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.69444em;"><span class="svg-align" style="top:-2.26867em;"><span class="pstrut" style="height:3em;"></span><span class="stretchy" style="height:0.548em;min-width:1.6em;"><span class="brace-left" style="height:0.548em;"><svg width="400em" height="0.548em" viewBox="0 0 400000 548" preserveAspectRatio="xMinYMin slice"><path d="M0 6l6-6h17c12.688 0 19.313.3 20 1 4 4 7.313 8.3 10 13
 35.313 51.3 80.813 93.8 136.5 127.5 55.688 33.7 117.188 55.8 184.5 66.5.688
 0 2 .3 4 1 18.688 2.7 76 4.3 172 5h399450v120H429l-6-1c-124.688-8-235-61.7
-331-161C60.687 138.7 32.312 99.3 7 54L0 41V6z"></path></svg></span><span class="brace-center" style="height:0.548em;"><svg width="400em" height="0.548em" viewBox="0 0 400000 548" preserveAspectRatio="xMidYMin slice"><path d="M199572 214
c100.7 8.3 195.3 44 280 108 55.3 42 101.7 93 139 153l9 14c2.7-4 5.7-8.7 9-14
 53.3-86.7 123.7-153 211-199 66.7-36 137.3-56.3 212-62h199568v120H200432c-178.3
 11.7-311.7 78.3-403 201-6 8-9.7 12-11 12-.7.7-6.7 1-18 1s-17.3-.3-18-1c-1.3 0
-5-4-11-12-44.7-59.3-101.3-106.3-170-141s-145.3-54.3-229-60H0V214z"></path></svg></span><span class="brace-right" style="height:0.548em;"><svg width="400em" height="0.548em" viewBox="0 0 400000 548" preserveAspectRatio="xMaxYMin slice"><path d="M399994 0l6 6v35l-6 11c-56 104-135.3 181.3-238 232-57.3
 28.7-117 45-179 50H-300V214h399897c43.3-7 81-15 113-26 100.7-33 179.7-91 237
-174 2.7-5 6-9 10-13 .7-1 7.3-1 20-1h17z"></path></svg></span></span></span><span style="top:-3em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord mathit">a</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mbin">+</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mord mathit">b</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mbin">+</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mord mathit">c</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mbin">+</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mord mathit">d</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.73133em;"></span></span></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:1.417438em;"></span></span></span></span></span></span></span></td>
</tr>
<tr>
<td style="text-align:center">\overbrace{a+\underbrace{b+c}_{1.0}+d}^{2.0}</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mover><mover><mrow><mi>a</mi><mo>+</mo><munder><munder><mrow><mi>b</mi><mo>+</mo><mi>c</mi></mrow><mo stretchy="true">⎵</mo></munder><mrow><mn>1</mn><mi mathvariant="normal">.</mi><mn>0</mn></mrow></munder><mo>+</mo><mi>d</mi></mrow><mo stretchy="true">⏞</mo></mover><mrow><mn>2</mn><mi mathvariant="normal">.</mi><mn>0</mn></mrow></mover></mrow><annotation encoding="application/x-tex">\overbrace{a+\underbrace{b+c}_{1.0}+d}^{2.0}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:1.9935479999999997em;"></span><span class="strut bottom" style="height:3.3759859999999997em;vertical-align:-1.382438em;"></span><span class="base"><span class="mord mover"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.9935479999999997em;"><span style="top:-3.34244em;"><span class="pstrut" style="height:3.34244em;"></span><span class="mord mover"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.3424399999999999em;"><span style="top:-3em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord mathit">a</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mbin">+</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mord munder"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.69444em;"><span style="top:-1.617562em;"><span class="pstrut" style="height:3em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight">1</span><span class="mord mtight">.</span><span class="mord mtight">0</span></span></span></span><span style="top:-3em;"><span class="pstrut" style="height:3em;"></span><span class="mord munder"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.69444em;"><span class="svg-align" style="top:-2.26867em;"><span class="pstrut" style="height:3em;"></span><span class="stretchy" style="height:0.548em;min-width:1.6em;"><span class="brace-left" style="height:0.548em;"><svg width="400em" height="0.548em" viewBox="0 0 400000 548" preserveAspectRatio="xMinYMin slice"><path d="M0 6l6-6h17c12.688 0 19.313.3 20 1 4 4 7.313 8.3 10 13
 35.313 51.3 80.813 93.8 136.5 127.5 55.688 33.7 117.188 55.8 184.5 66.5.688
 0 2 .3 4 1 18.688 2.7 76 4.3 172 5h399450v120H429l-6-1c-124.688-8-235-61.7
-331-161C60.687 138.7 32.312 99.3 7 54L0 41V6z"></path></svg></span><span class="brace-center" style="height:0.548em;"><svg width="400em" height="0.548em" viewBox="0 0 400000 548" preserveAspectRatio="xMidYMin slice"><path d="M199572 214
c100.7 8.3 195.3 44 280 108 55.3 42 101.7 93 139 153l9 14c2.7-4 5.7-8.7 9-14
 53.3-86.7 123.7-153 211-199 66.7-36 137.3-56.3 212-62h199568v120H200432c-178.3
 11.7-311.7 78.3-403 201-6 8-9.7 12-11 12-.7.7-6.7 1-18 1s-17.3-.3-18-1c-1.3 0
-5-4-11-12-44.7-59.3-101.3-106.3-170-141s-145.3-54.3-229-60H0V214z"></path></svg></span><span class="brace-right" style="height:0.548em;"><svg width="400em" height="0.548em" viewBox="0 0 400000 548" preserveAspectRatio="xMaxYMin slice"><path d="M399994 0l6 6v35l-6 11c-56 104-135.3 181.3-238 232-57.3
 28.7-117 45-179 50H-300V214h399897c43.3-7 81-15 113-26 100.7-33 179.7-91 237
-174 2.7-5 6-9 10-13 .7-1 7.3-1 20-1h17z"></path></svg></span></span></span><span style="top:-3em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord mathit">b</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mbin">+</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mord mathit">c</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.73133em;"></span></span></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:1.382438em;"></span></span></span></span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mbin">+</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mord mathit">d</span></span></span><span class="svg-align" style="top:-3.79444em;"><span class="pstrut" style="height:3em;"></span><span class="stretchy" style="height:0.548em;min-width:1.6em;"><span class="brace-left" style="height:0.548em;"><svg width="400em" height="0.548em" viewBox="0 0 400000 548" preserveAspectRatio="xMinYMin slice"><path d="M6 548l-6-6v-35l6-11c56-104 135.3-181.3 238-232 57.3-28.7 117
-45 179-50h399577v120H403c-43.3 7-81 15-113 26-100.7 33-179.7 91-237 174-2.7
 5-6 9-10 13-.7 1-7.3 1-20 1H6z"></path></svg></span><span class="brace-center" style="height:0.548em;"><svg width="400em" height="0.548em" viewBox="0 0 400000 548" preserveAspectRatio="xMidYMin slice"><path d="M200428 334
c-100.7-8.3-195.3-44-280-108-55.3-42-101.7-93-139-153l-9-14c-2.7 4-5.7 8.7-9 14
-53.3 86.7-123.7 153-211 199-66.7 36-137.3 56.3-212 62H0V214h199568c178.3-11.7
 311.7-78.3 403-201 6-8 9.7-12 11-12 .7-.7 6.7-1 18-1s17.3.3 18 1c1.3 0 5 4 11
 12 44.7 59.3 101.3 106.3 170 141s145.3 54.3 229 60h199572v120z"></path></svg></span><span class="brace-right" style="height:0.548em;"><svg width="400em" height="0.548em" viewBox="0 0 400000 548" preserveAspectRatio="xMaxYMin slice"><path d="M400000 542l
-6 6h-17c-12.7 0-19.3-.3-20-1-4-4-7.3-8.3-10-13-35.3-51.3-80.8-93.8-136.5-127.5
s-117.2-55.8-184.5-66.5c-.7 0-2-.3-4-1-18.7-2.7-76-4.3-172-5H0V214h399571l6 1
c124.7 8 235 61.7 331 161 31.3 33.3 59.7 72.7 85 118l7 13v35z"></path></svg></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:1.382438em;"></span></span></span></span></span><span style="top:-4.88488em;"><span class="pstrut" style="height:3.34244em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight">2</span><span class="mord mtight">.</span><span class="mord mtight">0</span></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:1.382438em;"></span></span></span></span></span></span></span></td>
</tr>
<tr>
<td style="text-align:center">\underbrace{a\cdot a\cdots a}_{b\text{ times}}</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><munder><munder><mrow><mi>a</mi><mo>⋅</mo><mi>a</mi><mo>⋯</mo><mi>a</mi></mrow><mo stretchy="true">⎵</mo></munder><mrow><mi>b</mi><mtext> times</mtext></mrow></munder></mrow><annotation encoding="application/x-tex">\underbrace{a\cdot a\cdots a}_{b\text{ times}}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.4444499999999998em;"></span><span class="strut bottom" style="height:1.7785579999999999em;vertical-align:-1.334108em;"></span><span class="base"><span class="mord munder"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.4444499999999998em;"><span style="top:-1.665892em;"><span class="pstrut" style="height:3em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mathit mtight">b</span><span class="mord text mtight"><span class="mord mtight"> times</span></span></span></span></span><span style="top:-3em;"><span class="pstrut" style="height:3em;"></span><span class="mord munder"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.44445em;"><span class="svg-align" style="top:-2.352em;"><span class="pstrut" style="height:3em;"></span><span class="stretchy" style="height:0.548em;min-width:1.6em;"><span class="brace-left" style="height:0.548em;"><svg width="400em" height="0.548em" viewBox="0 0 400000 548" preserveAspectRatio="xMinYMin slice"><path d="M0 6l6-6h17c12.688 0 19.313.3 20 1 4 4 7.313 8.3 10 13
 35.313 51.3 80.813 93.8 136.5 127.5 55.688 33.7 117.188 55.8 184.5 66.5.688
 0 2 .3 4 1 18.688 2.7 76 4.3 172 5h399450v120H429l-6-1c-124.688-8-235-61.7
-331-161C60.687 138.7 32.312 99.3 7 54L0 41V6z"></path></svg></span><span class="brace-center" style="height:0.548em;"><svg width="400em" height="0.548em" viewBox="0 0 400000 548" preserveAspectRatio="xMidYMin slice"><path d="M199572 214
c100.7 8.3 195.3 44 280 108 55.3 42 101.7 93 139 153l9 14c2.7-4 5.7-8.7 9-14
 53.3-86.7 123.7-153 211-199 66.7-36 137.3-56.3 212-62h199568v120H200432c-178.3
 11.7-311.7 78.3-403 201-6 8-9.7 12-11 12-.7.7-6.7 1-18 1s-17.3-.3-18-1c-1.3 0
-5-4-11-12-44.7-59.3-101.3-106.3-170-141s-145.3-54.3-229-60H0V214z"></path></svg></span><span class="brace-right" style="height:0.548em;"><svg width="400em" height="0.548em" viewBox="0 0 400000 548" preserveAspectRatio="xMaxYMin slice"><path d="M399994 0l6 6v35l-6 11c-56 104-135.3 181.3-238 232-57.3
 28.7-117 45-179 50H-300V214h399897c43.3-7 81-15 113-26 100.7-33 179.7-91 237
-174 2.7-5 6-9 10-13 .7-1 7.3-1 20-1h17z"></path></svg></span></span></span><span style="top:-3em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord mathit">a</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mbin">⋅</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mord mathit">a</span><span class="mord rule" style="margin-right:0.16666666666666666em;"></span><span class="minner">⋯</span><span class="mord rule" style="margin-right:0.16666666666666666em;"></span><span class="mord mathit">a</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.648em;"></span></span></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:1.334108em;"></span></span></span></span></span></span></span></td>
</tr>
</tbody>
</table>
<h3 class="mume-header" id="9%E7%AE%AD%E5%A4%B4%E7%AC%A6%E5%8F%B7">(9)．箭头符号</h3>

<ul>
<li>
<p>推荐使用符号：<br>
|输入|显示|输入|显示|输入|显示|<br>
|:--😐:--😐:--😐:--😐:--😐:--😐<br>
|\to|<span class="katex"><span class="katex-mathml"><math><semantics><mrow><mo>→</mo></mrow><annotation encoding="application/x-tex">\to</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.36687em;"></span><span class="strut bottom" style="height:0.36687em;vertical-align:0em;"></span><span class="base"><span class="mrel">→</span></span></span></span>|\mapsto|<span class="katex"><span class="katex-mathml"><math><semantics><mrow><mo>↦</mo></mrow><annotation encoding="application/x-tex">\mapsto</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.511em;"></span><span class="strut bottom" style="height:0.522em;vertical-align:-0.011em;"></span><span class="base"><span class="mrel">↦</span></span></span></span>|<br>
|\implies|<span class="katex"><span class="katex-mathml"><math><semantics><mrow><mspace width="0.277778em"></mspace><mo>⟹</mo><mspace width="0.277778em"></mspace></mrow><annotation encoding="application/x-tex">\implies</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.525em;"></span><span class="strut bottom" style="height:0.549em;vertical-align:-0.024em;"></span><span class="base"><span class="mspace thickspace"></span><span class="mrel">⟹</span><span class="mspace thickspace"></span></span></span></span>|\iff|<span class="katex"><span class="katex-mathml"><math><semantics><mrow><mspace width="0.277778em"></mspace><mo>⟺</mo><mspace width="0.277778em"></mspace></mrow><annotation encoding="application/x-tex">\iff</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.525em;"></span><span class="strut bottom" style="height:0.549em;vertical-align:-0.024em;"></span><span class="base"><span class="mspace thickspace"></span><span class="mrel">⟺</span><span class="mspace thickspace"></span></span></span></span>|\impliedby|<span class="katex"><span class="katex-mathml"><math><semantics><mrow><mspace width="0.277778em"></mspace><mo>⟸</mo><mspace width="0.277778em"></mspace></mrow><annotation encoding="application/x-tex">\impliedby</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.525em;"></span><span class="strut bottom" style="height:0.549em;vertical-align:-0.024em;"></span><span class="base"><span class="mspace thickspace"></span><span class="mrel">⟸</span><span class="mspace thickspace"></span></span></span></span>|</p>
</li>
<li>
<p>其它可用符号：<br>
|输入|显示|输入|显示|<br>
|:--😐:--😐:--😐:--😐<br>
|\uparrow|<span class="katex"><span class="katex-mathml"><math><semantics><mrow><mo>↑</mo></mrow><annotation encoding="application/x-tex">\uparrow</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.69444em;"></span><span class="strut bottom" style="height:0.8888799999999999em;vertical-align:-0.19444em;"></span><span class="base"><span class="mrel">↑</span></span></span></span>|\Uparrow|<span class="katex"><span class="katex-mathml"><math><semantics><mrow><mo>⇑</mo></mrow><annotation encoding="application/x-tex">\Uparrow</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.69444em;"></span><span class="strut bottom" style="height:0.8888799999999999em;vertical-align:-0.19444em;"></span><span class="base"><span class="mrel">⇑</span></span></span></span>|<br>
|\downarrow|<span class="katex"><span class="katex-mathml"><math><semantics><mrow><mo>↓</mo></mrow><annotation encoding="application/x-tex">\downarrow</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.69444em;"></span><span class="strut bottom" style="height:0.8888799999999999em;vertical-align:-0.19444em;"></span><span class="base"><span class="mrel">↓</span></span></span></span>|\Downarrow|<span class="katex"><span class="katex-mathml"><math><semantics><mrow><mo>⇓</mo></mrow><annotation encoding="application/x-tex">\Downarrow</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.69444em;"></span><span class="strut bottom" style="height:0.8888799999999999em;vertical-align:-0.19444em;"></span><span class="base"><span class="mrel">⇓</span></span></span></span>|<br>
|\leftarrow|<span class="katex"><span class="katex-mathml"><math><semantics><mrow><mo>←</mo></mrow><annotation encoding="application/x-tex">\leftarrow</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.36687em;"></span><span class="strut bottom" style="height:0.36687em;vertical-align:0em;"></span><span class="base"><span class="mrel">←</span></span></span></span>|\Leftarrow|<span class="katex"><span class="katex-mathml"><math><semantics><mrow><mo>⇐</mo></mrow><annotation encoding="application/x-tex">\Leftarrow</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.36687em;"></span><span class="strut bottom" style="height:0.36687em;vertical-align:0em;"></span><span class="base"><span class="mrel">⇐</span></span></span></span>|<br>
|\rightarrow|<span class="katex"><span class="katex-mathml"><math><semantics><mrow><mo>→</mo></mrow><annotation encoding="application/x-tex">\rightarrow</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.36687em;"></span><span class="strut bottom" style="height:0.36687em;vertical-align:0em;"></span><span class="base"><span class="mrel">→</span></span></span></span>|\Rightarrow|<span class="katex"><span class="katex-mathml"><math><semantics><mrow><mo>⇒</mo></mrow><annotation encoding="application/x-tex">\Rightarrow</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.36687em;"></span><span class="strut bottom" style="height:0.36687em;vertical-align:0em;"></span><span class="base"><span class="mrel">⇒</span></span></span></span>|<br>
|\leftrightarrow|<span class="katex"><span class="katex-mathml"><math><semantics><mrow><mo>↔</mo></mrow><annotation encoding="application/x-tex">\leftrightarrow</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.36687em;"></span><span class="strut bottom" style="height:0.36687em;vertical-align:0em;"></span><span class="base"><span class="mrel">↔</span></span></span></span>|\Leftrightarrow|<span class="katex"><span class="katex-mathml"><math><semantics><mrow><mo>⇔</mo></mrow><annotation encoding="application/x-tex">\Leftrightarrow</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.36687em;"></span><span class="strut bottom" style="height:0.36687em;vertical-align:0em;"></span><span class="base"><span class="mrel">⇔</span></span></span></span>|<br>
|\longleftarrow|<span class="katex"><span class="katex-mathml"><math><semantics><mrow><mo>⟵</mo></mrow><annotation encoding="application/x-tex">\longleftarrow</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.511em;"></span><span class="strut bottom" style="height:0.522em;vertical-align:-0.011em;"></span><span class="base"><span class="mrel">⟵</span></span></span></span>|\Longleftarrow|<span class="katex"><span class="katex-mathml"><math><semantics><mrow><mo>⟸</mo></mrow><annotation encoding="application/x-tex">\Longleftarrow</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.525em;"></span><span class="strut bottom" style="height:0.549em;vertical-align:-0.024em;"></span><span class="base"><span class="mrel">⟸</span></span></span></span>|<br>
|\longrightarrow|<span class="katex"><span class="katex-mathml"><math><semantics><mrow><mo>⟶</mo></mrow><annotation encoding="application/x-tex">\longrightarrow</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.511em;"></span><span class="strut bottom" style="height:0.522em;vertical-align:-0.011em;"></span><span class="base"><span class="mrel">⟶</span></span></span></span>|\Longrightarrow|<span class="katex"><span class="katex-mathml"><math><semantics><mrow><mo>⟹</mo></mrow><annotation encoding="application/x-tex">\Longrightarrow</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.525em;"></span><span class="strut bottom" style="height:0.549em;vertical-align:-0.024em;"></span><span class="base"><span class="mrel">⟹</span></span></span></span>|<br>
|\longleftrightarrow|<span class="katex"><span class="katex-mathml"><math><semantics><mrow><mo>⟷</mo></mrow><annotation encoding="application/x-tex">\longleftrightarrow</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.511em;"></span><span class="strut bottom" style="height:0.522em;vertical-align:-0.011em;"></span><span class="base"><span class="mrel">⟷</span></span></span></span>|\Longleftrightarrow|<span class="katex"><span class="katex-mathml"><math><semantics><mrow><mo>⟺</mo></mrow><annotation encoding="application/x-tex">\Longleftrightarrow</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.525em;"></span><span class="strut bottom" style="height:0.549em;vertical-align:-0.024em;"></span><span class="base"><span class="mrel">⟺</span></span></span></span>|</p>
</li>
</ul>
<h2 class="mume-header" id="13%E5%A6%82%E4%BD%95%E8%BF%9B%E8%A1%8C%E5%AD%97%E4%BD%93%E8%BD%AC%E6%8D%A2">13．如何进行字体转换</h2>

<p>若要对公式的某一部分字符进行字体转换，可以用 <code>{\字体 {需转换的部分字符}}</code> 命令，其中 <code>\字体</code> 部分可以参照下表选择合适的字体。一般情况下，公式默认为意大利体 <span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi>i</mi><mi>t</mi><mi>a</mi><mi>l</mi><mi>i</mi><mi>c</mi></mrow><annotation encoding="application/x-tex">italic</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.69444em;"></span><span class="strut bottom" style="height:0.69444em;vertical-align:0em;"></span><span class="base"><span class="mord mathit">i</span><span class="mord mathit">t</span><span class="mord mathit">a</span><span class="mord mathit" style="margin-right:0.01968em;">l</span><span class="mord mathit">i</span><span class="mord mathit">c</span></span></span></span> 。</p>
<p>示例中 <strong>全部大写</strong> 的字体仅大写可用。</p>
<table>
<thead>
<tr>
<th style="text-align:center">输入</th>
<th style="text-align:center">说明</th>
<th style="text-align:center">显示</th>
<th style="text-align:center">输入</th>
<th style="text-align:center">说明</th>
<th style="text-align:center">显示</th>
</tr>
</thead>
<tbody>
<tr>
<td style="text-align:center">\rm</td>
<td style="text-align:center">罗马体</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mrow><mrow><mi mathvariant="normal">S</mi><mi mathvariant="normal">a</mi><mi mathvariant="normal">m</mi><mi mathvariant="normal">p</mi><mi mathvariant="normal">l</mi><mi mathvariant="normal">e</mi></mrow></mrow></mrow><annotation encoding="application/x-tex">\rm{Sample}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.69444em;"></span><span class="strut bottom" style="height:0.8888799999999999em;vertical-align:-0.19444em;"></span><span class="base"><span class="mord"><span class="mord"><span class="mord mathrm">S</span><span class="mord mathrm">a</span><span class="mord mathrm">m</span><span class="mord mathrm">p</span><span class="mord mathrm">l</span><span class="mord mathrm">e</span></span></span></span></span></span></td>
<td style="text-align:center">\cal</td>
<td style="text-align:center">花体</td>
<td style="text-align:center"><span style="color: #ee7f49; font-weight: 500;">ParseError: KaTeX parse error: Expected 'EOF', got '\cal' at position 1: \̲c̲a̲l̲{SAMPLE}</span></td>
</tr>
<tr>
<td style="text-align:center">\it</td>
<td style="text-align:center">意大利体</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mrow><mrow><mi>S</mi><mi>a</mi><mi>m</mi><mi>p</mi><mi>l</mi><mi>e</mi></mrow></mrow></mrow><annotation encoding="application/x-tex">\it{Sample}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.69444em;"></span><span class="strut bottom" style="height:0.8888799999999999em;vertical-align:-0.19444em;"></span><span class="base"><span class="mord"><span class="mord"><span class="mord mathit" style="margin-right:0.05764em;">S</span><span class="mord mathit">a</span><span class="mord mathit">m</span><span class="mord mathit">p</span><span class="mord mathit" style="margin-right:0.01968em;">l</span><span class="mord mathit">e</span></span></span></span></span></span></td>
<td style="text-align:center">\Bbb</td>
<td style="text-align:center">黑板粗体</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mrow><mi mathvariant="double-struck">S</mi><mi mathvariant="double-struck">A</mi><mi mathvariant="double-struck">M</mi><mi mathvariant="double-struck">P</mi><mi mathvariant="double-struck">L</mi><mi mathvariant="double-struck">E</mi></mrow></mrow><annotation encoding="application/x-tex">\Bbb{SAMPLE}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.68889em;"></span><span class="strut bottom" style="height:0.68889em;vertical-align:0em;"></span><span class="base"><span class="mord"><span class="mord mathbb">S</span><span class="mord mathbb">A</span><span class="mord mathbb">M</span><span class="mord mathbb">P</span><span class="mord mathbb">L</span><span class="mord mathbb">E</span></span></span></span></span></td>
</tr>
<tr>
<td style="text-align:center">\bf</td>
<td style="text-align:center">粗体</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mrow><mrow><mi mathvariant="bold">S</mi><mi mathvariant="bold">a</mi><mi mathvariant="bold">m</mi><mi mathvariant="bold">p</mi><mi mathvariant="bold">l</mi><mi mathvariant="bold">e</mi></mrow></mrow></mrow><annotation encoding="application/x-tex">\bf{Sample}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.69444em;"></span><span class="strut bottom" style="height:0.8888799999999999em;vertical-align:-0.19444em;"></span><span class="base"><span class="mord"><span class="mord"><span class="mord mathbf">S</span><span class="mord mathbf">a</span><span class="mord mathbf">m</span><span class="mord mathbf">p</span><span class="mord mathbf">l</span><span class="mord mathbf">e</span></span></span></span></span></span></td>
<td style="text-align:center">\mit</td>
<td style="text-align:center">数学斜体</td>
<td style="text-align:center"><span style="color: #ee7f49; font-weight: 500;">ParseError: KaTeX parse error: Expected 'EOF', got '\mit' at position 1: \̲m̲i̲t̲{SAMPLE}</span></td>
</tr>
<tr>
<td style="text-align:center">\sf</td>
<td style="text-align:center">等线体</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mrow><mrow><mi mathvariant="sans-serif">S</mi><mi mathvariant="sans-serif">a</mi><mi mathvariant="sans-serif">m</mi><mi mathvariant="sans-serif">p</mi><mi mathvariant="sans-serif">l</mi><mi mathvariant="sans-serif">e</mi></mrow></mrow></mrow><annotation encoding="application/x-tex">\sf{Sample}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.69444em;"></span><span class="strut bottom" style="height:0.8888799999999999em;vertical-align:-0.19444em;"></span><span class="base"><span class="mord"><span class="mord"><span class="mord mathsf">S</span><span class="mord mathsf">a</span><span class="mord mathsf">m</span><span class="mord mathsf">p</span><span class="mord mathsf">l</span><span class="mord mathsf">e</span></span></span></span></span></span></td>
<td style="text-align:center">\scr</td>
<td style="text-align:center">手写体</td>
<td style="text-align:center"><span style="color: #ee7f49; font-weight: 500;">ParseError: KaTeX parse error: Expected 'EOF', got '\scr' at position 1: \̲s̲c̲r̲{SAMPLE}</span></td>
</tr>
<tr>
<td style="text-align:center">\tt</td>
<td style="text-align:center">打字机体</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mrow><mrow><mi mathvariant="monospace">S</mi><mi mathvariant="monospace">a</mi><mi mathvariant="monospace">m</mi><mi mathvariant="monospace">p</mi><mi mathvariant="monospace">l</mi><mi mathvariant="monospace">e</mi></mrow></mrow></mrow><annotation encoding="application/x-tex">\tt{Sample}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.61111em;"></span><span class="strut bottom" style="height:0.83333em;vertical-align:-0.22222em;"></span><span class="base"><span class="mord"><span class="mord"><span class="mord mathtt">S</span><span class="mord mathtt">a</span><span class="mord mathtt">m</span><span class="mord mathtt">p</span><span class="mord mathtt">l</span><span class="mord mathtt">e</span></span></span></span></span></span></td>
<td style="text-align:center"></td>
<td style="text-align:center"></td>
<td style="text-align:center"></td>
</tr>
<tr>
<td style="text-align:center">\frak</td>
<td style="text-align:center">旧德式字体</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mrow><mi mathvariant="fraktur">S</mi><mi mathvariant="fraktur">a</mi><mi mathvariant="fraktur">m</mi><mi mathvariant="fraktur">p</mi><mi mathvariant="fraktur">l</mi><mi mathvariant="fraktur">e</mi></mrow></mrow><annotation encoding="application/x-tex">\frak{Sample}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.69141em;"></span><span class="strut bottom" style="height:0.88047em;vertical-align:-0.18906em;"></span><span class="base"><span class="mord"><span class="mord mathfrak">S</span><span class="mord mathfrak">a</span><span class="mord mathfrak">m</span><span class="mord mathfrak">p</span><span class="mord mathfrak">l</span><span class="mord mathfrak">e</span></span></span></span></span></td>
<td style="text-align:center"></td>
<td style="text-align:center"></td>
<td style="text-align:center"></td>
</tr>
</tbody>
</table>
<p>转换字体十分常用，例如在积分中：</p>
<ul>
<li>例子：</li>
</ul>
<pre data-role="codeBlock" data-info="" class="language-"><code>\begin{array}{cc}
\mathrm{Bad} &amp; \mathrm{Better} \\
\hline \\
\int_0^1 x^2 dx &amp; \int_0^1 x^2 \,{\rm d}x
\end{array}
</code></pre><ul>
<li>显示：<br>
\begin{array}{cc}<br>
\mathrm{Bad} &amp; \mathrm{Better} \<br>
\hline \<br>
\int_0^1 x^2 dx &amp; \int_0^1 x^2 ,{\rm d}x<br>
\end{array}</li>
</ul>
<p>注意比较两个式子间 <span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi>d</mi><mi>x</mi></mrow><annotation encoding="application/x-tex">dx</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.69444em;"></span><span class="strut bottom" style="height:0.69444em;vertical-align:0em;"></span><span class="base"><span class="mord mathit">d</span><span class="mord mathit">x</span></span></span></span> 与 <span class="katex"><span class="katex-mathml"><math><semantics><mrow><mrow><mrow><mi mathvariant="normal">d</mi></mrow></mrow><mi>x</mi></mrow><annotation encoding="application/x-tex">{\rm d} x</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.69444em;"></span><span class="strut bottom" style="height:0.69444em;vertical-align:0em;"></span><span class="base"><span class="mord"><span class="mord"><span class="mord mathrm">d</span></span></span><span class="mord mathit">x</span></span></span></span> 的不同。<br>
使用 <code>\operatorname</code> 命令也可以达到相同的效果，详见 <a href="#1%E5%AE%9A%E4%B9%89%E6%96%B0%E7%9A%84%E7%AC%A6%E5%8F%B7-operatorname">定义新的符号 \operatorname</a> 。</p>
<h2 class="mume-header" id="14%E5%A4%A7%E6%8B%AC%E5%8F%B7%E5%92%8C%E8%A1%8C%E6%A0%87%E7%9A%84%E4%BD%BF%E7%94%A8">14．大括号和行标的使用</h2>

<p>使用 <code>\left</code> 和 <code>\right</code> 来创建自动匹配高度的 (圆括号)，[方括号] 和 {花括号} 。<br>
在每个公式末尾前使用 <code>\tag{行标}</code> 来实现行标。</p>
<ul>
<li>例子：</li>
</ul>
<pre data-role="codeBlock" data-info="" class="language-"><code>$$
f\left(
   \left[ 
     \frac{
       1+\left\{x,y\right\}
     }{
       \left(
          \frac{x}{y}+\frac{y}{x}
       \right)
       \left(u+1\right)
     }+a
   \right]^{3/2}
\right)
\tag{&#x884C;&#x6807;}
$$
</code></pre><ul>
<li>显示：<br>
<span style="color: #ee7f49; font-weight: 500;">ParseError: KaTeX parse error: Expected 'EOF', got '\tag' at position 169: …^{3/2}
\right)
\̲t̲a̲g̲{行标}</span></li>
</ul>
<p>如果你需要在不同的行显示对应括号，可以在每一行对应处使用 <code>\left.</code> 或 <code>\right.</code> 来放一个&quot;影子&quot;括号：</p>
<ul>
<li>例子：</li>
</ul>
<pre data-role="codeBlock" data-info="" class="language-"><code>$$
\begin{aligned}
a=&amp;\left(1+2+3+  \cdots \right. \\
&amp; \cdots+ \left. \infty-2+\infty-1+\infty\right)
\end{aligned}
$$
</code></pre><ul>
<li>显示：<br>
<span class="katex-display"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mtable><mtr><mtd><mstyle scriptlevel="0" displaystyle="true"><mrow><mi>a</mi><mo>=</mo></mrow></mstyle></mtd><mtd><mstyle scriptlevel="0" displaystyle="true"><mrow><mrow></mrow><mrow><mo fence="true">(</mo><mn>1</mn><mo>+</mo><mn>2</mn><mo>+</mo><mn>3</mn><mo>+</mo><mo>⋯</mo><mspace width="0.16667em"></mspace></mrow></mrow></mstyle></mtd></mtr><mtr><mtd><mstyle scriptlevel="0" displaystyle="true"><mrow></mrow></mstyle></mtd><mtd><mstyle scriptlevel="0" displaystyle="true"><mrow><mrow></mrow><mo>⋯</mo><mo>+</mo><mrow><mi mathvariant="normal">∞</mi><mo>−</mo><mn>2</mn><mo>+</mo><mi mathvariant="normal">∞</mi><mo>−</mo><mn>1</mn><mo>+</mo><mi mathvariant="normal">∞</mi><mo fence="true">)</mo></mrow></mrow></mstyle></mtd></mtr></mtable></mrow><annotation encoding="application/x-tex">\begin{aligned}
a=&amp;\left(1+2+3+  \cdots \right. \\
&amp; \cdots+ \left. \infty-2+\infty-1+\infty\right)
\end{aligned}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:1.7500000000000002em;"></span><span class="strut bottom" style="height:3.0000000000000004em;vertical-align:-1.2500000000000002em;"></span><span class="base"><span class="mord"><span class="mtable"><span class="col-align-r"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.7500000000000002em;"><span style="top:-3.91em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord mathit">a</span><span class="mord rule" style="margin-right:0.2777777777777778em;"></span><span class="mrel">=</span></span></span><span style="top:-2.41em;"><span class="pstrut" style="height:3em;"></span><span class="mord"></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:1.2500000000000002em;"></span></span></span></span><span class="col-align-l"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.7500000000000002em;"><span style="top:-3.91em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord"></span><span class="mord rule" style="margin-right:0.16666666666666666em;"></span><span class="minner"><span class="mopen delimcenter" style="top:0em;">(</span><span class="mord">1</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mbin">+</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mord">2</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mbin">+</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mord">3</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mbin">+</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="minner">⋯</span><span class="mspace thinspace"></span><span class="mclose nulldelimiter"></span></span></span></span><span style="top:-2.41em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord"></span><span class="mord rule" style="margin-right:0.16666666666666666em;"></span><span class="minner">⋯</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mbin">+</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="minner"><span class="mopen nulldelimiter"></span><span class="mord">∞</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mbin">−</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mord">2</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mbin">+</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mord">∞</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mbin">−</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mord">1</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mbin">+</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mord">∞</span><span class="mclose delimcenter" style="top:0em;">)</span></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:1.2500000000000002em;"></span></span></span></span></span></span></span></span></span></span></li>
</ul>
<p>如果你需要将行内显示的分隔符也变大，可以使用 <code>\middle</code> 命令：</p>
<ul>
<li>例子：</li>
</ul>
<pre data-role="codeBlock" data-info="" class="language-"><code>$$
\left\langle  
  q
\middle\|
  \frac{\frac{x}{y}}{\frac{u}{v}}
\middle| 
   p 
\right\rangle
$$
</code></pre><ul>
<li>显示：<br>
<span class="katex-display"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mrow><mo fence="true">⟨</mo><mi>q</mi><mo fence="true">undefined</mo><mfrac><mrow><mfrac><mrow><mi>x</mi></mrow><mrow><mi>y</mi></mrow></mfrac></mrow><mrow><mfrac><mrow><mi>u</mi></mrow><mrow><mi>v</mi></mrow></mfrac></mrow></mfrac><mo fence="true">undefined</mo><mi>p</mi><mo fence="true">⟩</mo></mrow></mrow><annotation encoding="application/x-tex">\left\langle  
q
\middle\|
\frac{\frac{x}{y}}{\frac{u}{v}}
\middle| 
 p 
\right\rangle</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:1.5665em;"></span><span class="strut bottom" style="height:2.5975em;vertical-align:-1.0310000000000001em;"></span><span class="base"><span class="minner"><span class="mopen delimcenter" style="top:0em;"><span class="delimsizing size3">⟨</span></span><span class="mord mathit" style="margin-right:0.03588em;">q</span><span><span class="delimsizing mult"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.47398em;"><span style="top:-1.65598em;"><span class="pstrut" style="height:2.606em;"></span><span class="delimsizinginner delim-size1"><span>∥</span></span></span><span style="top:-2.26198em;"><span class="pstrut" style="height:2.606em;"></span><span class="delimsizinginner delim-size1"><span>∥</span></span></span><span style="top:-2.86798em;"><span class="pstrut" style="height:2.606em;"></span><span class="delimsizinginner delim-size1"><span>∥</span></span></span><span style="top:-3.47398em;"><span class="pstrut" style="height:2.606em;"></span><span class="delimsizinginner delim-size1"><span>∥</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.9500199999999999em;"></span></span></span></span></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.5665em;"><span style="top:-2.314em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.695392em;"><span style="top:-2.6550000000000002em;"><span class="pstrut" style="height:3em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mathit mtight" style="margin-right:0.03588em;">v</span></span></span></span><span style="top:-3.15em;"><span class="pstrut" style="height:3em;"></span><span class="stretchy" style="height:0.2em;"><svg width="400em" height="0.2em" viewBox="0 0 400000 200" preserveAspectRatio="xMinYMin slice"><path d="M0 80H400000 v40H0z M0 80H400000 v40H0z"></path></svg></span></span><span style="top:-3.394em;"><span class="pstrut" style="height:3em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mathit mtight">u</span></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.345em;"></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span><span style="top:-3.15em;"><span class="pstrut" style="height:3em;"></span><span class="stretchy" style="height:0.2em;"><svg width="400em" height="0.2em" viewBox="0 0 400000 200" preserveAspectRatio="xMinYMin slice"><path d="M0 80H400000 v40H0z M0 80H400000 v40H0z"></path></svg></span></span><span style="top:-3.871108em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.695392em;"><span style="top:-2.6550000000000002em;"><span class="pstrut" style="height:3em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mathit mtight" style="margin-right:0.03588em;">y</span></span></span></span><span style="top:-3.15em;"><span class="pstrut" style="height:3em;"></span><span class="stretchy" style="height:0.2em;"><svg width="400em" height="0.2em" viewBox="0 0 400000 200" preserveAspectRatio="xMinYMin slice"><path d="M0 80H400000 v40H0z M0 80H400000 v40H0z"></path></svg></span></span><span style="top:-3.394em;"><span class="pstrut" style="height:3em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mathit mtight">x</span></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.481108em;"></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:1.0310000000000001em;"></span></span></span></span><span class="mclose nulldelimiter"></span></span><span><span class="delimsizing mult"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.47398em;"><span style="top:-1.65598em;"><span class="pstrut" style="height:2.606em;"></span><span class="delimsizinginner delim-size1"><span>∣</span></span></span><span style="top:-2.26198em;"><span class="pstrut" style="height:2.606em;"></span><span class="delimsizinginner delim-size1"><span>∣</span></span></span><span style="top:-2.86798em;"><span class="pstrut" style="height:2.606em;"></span><span class="delimsizinginner delim-size1"><span>∣</span></span></span><span style="top:-3.47398em;"><span class="pstrut" style="height:2.606em;"></span><span class="delimsizinginner delim-size1"><span>∣</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.9500199999999999em;"></span></span></span></span></span><span class="mord mathit">p</span><span class="mclose delimcenter" style="top:0em;"><span class="delimsizing size3">⟩</span></span></span></span></span></span></span></li>
</ul>
<h2 class="mume-header" id="15%E5%85%B6%E5%AE%83%E5%91%BD%E4%BB%A4">15．其它命令</h2>

<h3 class="mume-header" id="1%E5%AE%9A%E4%B9%89%E6%96%B0%E7%9A%84%E7%AC%A6%E5%8F%B7-operatorname">(1)．定义新的符号 \operatorname</h3>

<p>查询 <a href="http://meta.math.stackexchange.com/questions/5020/mathjax-basic-tutorial-and-quick-reference/15077#15077">关于此命令的定义</a> 和 <a href="http://meta.math.stackexchange.com/search?q=operatorname">关于此命令的讨论</a> 来进一步了解此命令。</p>
<ul>
<li>例子：</li>
</ul>
<pre data-role="codeBlock" data-info="" class="language-"><code>$$ \operatorname{Symbol} A $$
</code></pre><ul>
<li>显示： <span class="katex-display"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi mathvariant="normal">Symbol</mi><mo>⁡</mo><mi>A</mi></mrow><annotation encoding="application/x-tex">\operatorname{Symbol} A</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.69444em;"></span><span class="strut bottom" style="height:0.8888799999999999em;vertical-align:-0.19444em;"></span><span class="base"><span class="mop">Symbol</span><span class="mord rule" style="margin-right:0.16666666666666666em;"></span><span class="mord mathit">A</span></span></span></span></span></li>
</ul>
<h3 class="mume-header" id="2%E6%B7%BB%E5%8A%A0%E6%B3%A8%E9%87%8A%E6%96%87%E5%AD%97-text">(2)．添加注释文字 \text</h3>

<p>在 <code>\text {文字}</code> 中仍可以使用 <code>$公式$</code> 插入其它公式。</p>
<ul>
<li>例子：</li>
</ul>
<pre data-role="codeBlock" data-info="" class="language-"><code>$$ f(n)= \begin{cases} n/2, &amp; \text {if $n$ is even} \\ 3n+1, &amp; \text{if $n$ is odd} \end{cases} $$
</code></pre><ul>
<li>显示：<br>
<span class="katex-display"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi>f</mi><mo>(</mo><mi>n</mi><mo>)</mo><mo>=</mo><mrow><mo fence="true">{</mo><mtable><mtr><mtd><mstyle scriptlevel="0" displaystyle="false"><mrow><mi>n</mi><mi mathvariant="normal">/</mi><mn>2</mn><mo separator="true">,</mo></mrow></mstyle></mtd><mtd><mstyle scriptlevel="0" displaystyle="false"><mrow><mrow><mtext>if  is even</mtext><mstyle scriptlevel="0" displaystyle="false"><mi>n</mi></mstyle></mrow></mrow></mstyle></mtd></mtr><mtr><mtd><mstyle scriptlevel="0" displaystyle="false"><mrow><mn>3</mn><mi>n</mi><mo>+</mo><mn>1</mn><mo separator="true">,</mo></mrow></mstyle></mtd><mtd><mstyle scriptlevel="0" displaystyle="false"><mrow><mrow><mtext>if  is odd</mtext><mstyle scriptlevel="0" displaystyle="false"><mi>n</mi></mstyle></mrow></mrow></mstyle></mtd></mtr></mtable></mrow></mrow><annotation encoding="application/x-tex">f(n)= \begin{cases} n/2, &amp; \text {if $n$ is even} \\ 3n+1, &amp; \text{if $n$ is odd} \end{cases}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:1.75em;"></span><span class="strut bottom" style="height:3.0000299999999998em;vertical-align:-1.25003em;"></span><span class="base"><span class="mord mathit" style="margin-right:0.10764em;">f</span><span class="mopen">(</span><span class="mord mathit">n</span><span class="mclose">)</span><span class="mord rule" style="margin-right:0.2777777777777778em;"></span><span class="mrel">=</span><span class="mord rule" style="margin-right:0.2777777777777778em;"></span><span class="minner"><span class="mopen delimcenter" style="top:0em;"><span class="delimsizing size4">{</span></span><span class="mord"><span class="mtable"><span class="col-align-l"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.69em;"><span style="top:-3.69em;"><span class="pstrut" style="height:3.008em;"></span><span class="mord"><span class="mord mathit">n</span><span class="mord">/</span><span class="mord">2</span><span class="mpunct">,</span></span></span><span style="top:-2.25em;"><span class="pstrut" style="height:3.008em;"></span><span class="mord"><span class="mord">3</span><span class="mord mathit">n</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mbin">+</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mord">1</span><span class="mpunct">,</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:1.19em;"></span></span></span></span><span class="arraycolsep" style="width:1em;"></span><span class="col-align-l"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.69em;"><span style="top:-3.69em;"><span class="pstrut" style="height:3.008em;"></span><span class="mord"><span class="mord text"><span class="mord">if </span><span class="mord mathit">n</span><span class="mord"> is even</span></span></span></span><span style="top:-2.25em;"><span class="pstrut" style="height:3.008em;"></span><span class="mord"><span class="mord text"><span class="mord">if </span><span class="mord mathit">n</span><span class="mord"> is odd</span></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:1.19em;"></span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span></li>
</ul>
<h3 class="mume-header" id="3%E5%9C%A8%E5%AD%97%E7%AC%A6%E9%97%B4%E5%8A%A0%E5%85%A5%E7%A9%BA%E6%A0%BC">(3)．在字符间加入空格</h3>

<p>有四种宽度的空格可以使用： <code>\,</code>、<code>\;</code>、<code>\quad</code> 和 <code>\qquad</code> 。</p>
<ul>
<li>例子：</li>
</ul>
<pre data-role="codeBlock" data-info="" class="language-"><code>$$ a \, b \mid a \; b \mid a \quad b \mid a \qquad b $$
</code></pre><ul>
<li>显示：<span class="katex-display"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi>a</mi><mspace width="0.16667em"></mspace><mi>b</mi><mo>∣</mo><mi>a</mi><mspace width="0.277778em"></mspace><mi>b</mi><mo>∣</mo><mi>a</mi><mspace width="1em"></mspace><mi>b</mi><mo>∣</mo><mi>a</mi><mspace width="2em"></mspace><mi>b</mi></mrow><annotation encoding="application/x-tex">a \, b \mid a \; b \mid a \quad b \mid a \qquad b</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.75em;"></span><span class="strut bottom" style="height:1em;vertical-align:-0.25em;"></span><span class="base"><span class="mord mathit">a</span><span class="mspace thinspace"></span><span class="mord mathit">b</span><span class="mord rule" style="margin-right:0.2777777777777778em;"></span><span class="mrel">∣</span><span class="mord rule" style="margin-right:0.2777777777777778em;"></span><span class="mord mathit">a</span><span class="mspace thickspace"></span><span class="mord mathit">b</span><span class="mord rule" style="margin-right:0.2777777777777778em;"></span><span class="mrel">∣</span><span class="mord rule" style="margin-right:0.2777777777777778em;"></span><span class="mord mathit">a</span><span class="mspace quad"></span><span class="mord mathit">b</span><span class="mord rule" style="margin-right:0.2777777777777778em;"></span><span class="mrel">∣</span><span class="mord rule" style="margin-right:0.2777777777777778em;"></span><span class="mord mathit">a</span><span class="mspace qquad"></span><span class="mord mathit">b</span></span></span></span></span></li>
</ul>
<p>当然，使用 <code>\text {n个空格}</code> 也可以达到同样效果。</p>
<h3 class="mume-header" id="4%E6%9B%B4%E6%94%B9%E6%96%87%E5%AD%97%E9%A2%9C%E8%89%B2">(4)．更改文字颜色</h3>

<p>使用 <code>\color{颜色}{文字}</code> 来更改特定的文字颜色。<br>
更改文字颜色 <strong>需要浏览器支持</strong> ，如果浏览器不知道你所需的颜色，那么文字将被渲染为黑色。</p>
<p>对于较旧的浏览器（HTML4与CSS2），以下颜色是被支持的：</p>
<table>
<thead>
<tr>
<th style="text-align:center">输入</th>
<th style="text-align:center">显示</th>
<th style="text-align:center">输入</th>
<th style="text-align:center">显示</th>
</tr>
</thead>
<tbody>
<tr>
<td style="text-align:center">black</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mstyle mathcolor="black"><mrow><mi>t</mi><mi>e</mi><mi>x</mi><mi>t</mi></mrow></mstyle></mrow><annotation encoding="application/x-tex">\color{black}{text}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.61508em;"></span><span class="strut bottom" style="height:0.61508em;vertical-align:0em;"></span><span class="base"><span class="mord" style="color:black;"><span class="mord mathit" style="color:black;">t</span><span class="mord mathit" style="color:black;">e</span><span class="mord mathit" style="color:black;">x</span><span class="mord mathit" style="color:black;">t</span></span></span></span></span></td>
<td style="text-align:center">grey</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mstyle mathcolor="grey"><mrow><mi>t</mi><mi>e</mi><mi>x</mi><mi>t</mi></mrow></mstyle></mrow><annotation encoding="application/x-tex">\color{grey}{text}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.61508em;"></span><span class="strut bottom" style="height:0.61508em;vertical-align:0em;"></span><span class="base"><span class="mord" style="color:grey;"><span class="mord mathit" style="color:grey;">t</span><span class="mord mathit" style="color:grey;">e</span><span class="mord mathit" style="color:grey;">x</span><span class="mord mathit" style="color:grey;">t</span></span></span></span></span></td>
</tr>
<tr>
<td style="text-align:center">silver</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mstyle mathcolor="silver"><mrow><mi>t</mi><mi>e</mi><mi>x</mi><mi>t</mi></mrow></mstyle></mrow><annotation encoding="application/x-tex">\color{silver}{text}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.61508em;"></span><span class="strut bottom" style="height:0.61508em;vertical-align:0em;"></span><span class="base"><span class="mord" style="color:silver;"><span class="mord mathit" style="color:silver;">t</span><span class="mord mathit" style="color:silver;">e</span><span class="mord mathit" style="color:silver;">x</span><span class="mord mathit" style="color:silver;">t</span></span></span></span></span></td>
<td style="text-align:center">white</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mstyle mathcolor="white"><mrow><mi>t</mi><mi>e</mi><mi>x</mi><mi>t</mi></mrow></mstyle></mrow><annotation encoding="application/x-tex">\color{white}{text}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.61508em;"></span><span class="strut bottom" style="height:0.61508em;vertical-align:0em;"></span><span class="base"><span class="mord" style="color:white;"><span class="mord mathit" style="color:white;">t</span><span class="mord mathit" style="color:white;">e</span><span class="mord mathit" style="color:white;">x</span><span class="mord mathit" style="color:white;">t</span></span></span></span></span></td>
</tr>
<tr>
<td style="text-align:center">maroon</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mstyle mathcolor="maroon"><mrow><mi>t</mi><mi>e</mi><mi>x</mi><mi>t</mi></mrow></mstyle></mrow><annotation encoding="application/x-tex">\color{maroon}{text}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.61508em;"></span><span class="strut bottom" style="height:0.61508em;vertical-align:0em;"></span><span class="base"><span class="mord" style="color:maroon;"><span class="mord mathit" style="color:maroon;">t</span><span class="mord mathit" style="color:maroon;">e</span><span class="mord mathit" style="color:maroon;">x</span><span class="mord mathit" style="color:maroon;">t</span></span></span></span></span></td>
<td style="text-align:center">red</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mstyle mathcolor="red"><mrow><mi>t</mi><mi>e</mi><mi>x</mi><mi>t</mi></mrow></mstyle></mrow><annotation encoding="application/x-tex">\color{red}{text}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.61508em;"></span><span class="strut bottom" style="height:0.61508em;vertical-align:0em;"></span><span class="base"><span class="mord" style="color:red;"><span class="mord mathit" style="color:red;">t</span><span class="mord mathit" style="color:red;">e</span><span class="mord mathit" style="color:red;">x</span><span class="mord mathit" style="color:red;">t</span></span></span></span></span></td>
</tr>
<tr>
<td style="text-align:center">yellow</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mstyle mathcolor="yellow"><mrow><mi>t</mi><mi>e</mi><mi>x</mi><mi>t</mi></mrow></mstyle></mrow><annotation encoding="application/x-tex">\color{yellow}{text}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.61508em;"></span><span class="strut bottom" style="height:0.61508em;vertical-align:0em;"></span><span class="base"><span class="mord" style="color:yellow;"><span class="mord mathit" style="color:yellow;">t</span><span class="mord mathit" style="color:yellow;">e</span><span class="mord mathit" style="color:yellow;">x</span><span class="mord mathit" style="color:yellow;">t</span></span></span></span></span></td>
<td style="text-align:center">lime</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mstyle mathcolor="lime"><mrow><mi>t</mi><mi>e</mi><mi>x</mi><mi>t</mi></mrow></mstyle></mrow><annotation encoding="application/x-tex">\color{lime}{text}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.61508em;"></span><span class="strut bottom" style="height:0.61508em;vertical-align:0em;"></span><span class="base"><span class="mord" style="color:lime;"><span class="mord mathit" style="color:lime;">t</span><span class="mord mathit" style="color:lime;">e</span><span class="mord mathit" style="color:lime;">x</span><span class="mord mathit" style="color:lime;">t</span></span></span></span></span></td>
</tr>
<tr>
<td style="text-align:center">olive</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mstyle mathcolor="olive"><mrow><mi>t</mi><mi>e</mi><mi>x</mi><mi>t</mi></mrow></mstyle></mrow><annotation encoding="application/x-tex">\color{olive}{text}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.61508em;"></span><span class="strut bottom" style="height:0.61508em;vertical-align:0em;"></span><span class="base"><span class="mord" style="color:olive;"><span class="mord mathit" style="color:olive;">t</span><span class="mord mathit" style="color:olive;">e</span><span class="mord mathit" style="color:olive;">x</span><span class="mord mathit" style="color:olive;">t</span></span></span></span></span></td>
<td style="text-align:center">green</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mstyle mathcolor="green"><mrow><mi>t</mi><mi>e</mi><mi>x</mi><mi>t</mi></mrow></mstyle></mrow><annotation encoding="application/x-tex">\color{green}{text}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.61508em;"></span><span class="strut bottom" style="height:0.61508em;vertical-align:0em;"></span><span class="base"><span class="mord" style="color:green;"><span class="mord mathit" style="color:green;">t</span><span class="mord mathit" style="color:green;">e</span><span class="mord mathit" style="color:green;">x</span><span class="mord mathit" style="color:green;">t</span></span></span></span></span></td>
</tr>
<tr>
<td style="text-align:center">teal</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mstyle mathcolor="teal"><mrow><mi>t</mi><mi>e</mi><mi>x</mi><mi>t</mi></mrow></mstyle></mrow><annotation encoding="application/x-tex">\color{teal}{text}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.61508em;"></span><span class="strut bottom" style="height:0.61508em;vertical-align:0em;"></span><span class="base"><span class="mord" style="color:teal;"><span class="mord mathit" style="color:teal;">t</span><span class="mord mathit" style="color:teal;">e</span><span class="mord mathit" style="color:teal;">x</span><span class="mord mathit" style="color:teal;">t</span></span></span></span></span></td>
<td style="text-align:center">auqa</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mstyle mathcolor="auqa"><mrow><mi>t</mi><mi>e</mi><mi>x</mi><mi>t</mi></mrow></mstyle></mrow><annotation encoding="application/x-tex">\color{auqa}{text}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.61508em;"></span><span class="strut bottom" style="height:0.61508em;vertical-align:0em;"></span><span class="base"><span class="mord" style="color:auqa;"><span class="mord mathit" style="color:auqa;">t</span><span class="mord mathit" style="color:auqa;">e</span><span class="mord mathit" style="color:auqa;">x</span><span class="mord mathit" style="color:auqa;">t</span></span></span></span></span></td>
</tr>
<tr>
<td style="text-align:center">blue</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mstyle mathcolor="blue"><mrow><mi>t</mi><mi>e</mi><mi>x</mi><mi>t</mi></mrow></mstyle></mrow><annotation encoding="application/x-tex">\color{blue}{text}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.61508em;"></span><span class="strut bottom" style="height:0.61508em;vertical-align:0em;"></span><span class="base"><span class="mord" style="color:blue;"><span class="mord mathit" style="color:blue;">t</span><span class="mord mathit" style="color:blue;">e</span><span class="mord mathit" style="color:blue;">x</span><span class="mord mathit" style="color:blue;">t</span></span></span></span></span></td>
<td style="text-align:center">navy</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mstyle mathcolor="navy"><mrow><mi>t</mi><mi>e</mi><mi>x</mi><mi>t</mi></mrow></mstyle></mrow><annotation encoding="application/x-tex">\color{navy}{text}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.61508em;"></span><span class="strut bottom" style="height:0.61508em;vertical-align:0em;"></span><span class="base"><span class="mord" style="color:navy;"><span class="mord mathit" style="color:navy;">t</span><span class="mord mathit" style="color:navy;">e</span><span class="mord mathit" style="color:navy;">x</span><span class="mord mathit" style="color:navy;">t</span></span></span></span></span></td>
</tr>
<tr>
<td style="text-align:center">purple</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mstyle mathcolor="purple"><mrow><mi>t</mi><mi>e</mi><mi>x</mi><mi>t</mi></mrow></mstyle></mrow><annotation encoding="application/x-tex">\color{purple}{text}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.61508em;"></span><span class="strut bottom" style="height:0.61508em;vertical-align:0em;"></span><span class="base"><span class="mord" style="color:purple;"><span class="mord mathit" style="color:purple;">t</span><span class="mord mathit" style="color:purple;">e</span><span class="mord mathit" style="color:purple;">x</span><span class="mord mathit" style="color:purple;">t</span></span></span></span></span></td>
<td style="text-align:center">fuchsia</td>
<td style="text-align:center"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mstyle mathcolor="fuchsia"><mrow><mi>t</mi><mi>e</mi><mi>x</mi><mi>t</mi></mrow></mstyle></mrow><annotation encoding="application/x-tex">\color{fuchsia}{text}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.61508em;"></span><span class="strut bottom" style="height:0.61508em;vertical-align:0em;"></span><span class="base"><span class="mord" style="color:fuchsia;"><span class="mord mathit" style="color:fuchsia;">t</span><span class="mord mathit" style="color:fuchsia;">e</span><span class="mord mathit" style="color:fuchsia;">x</span><span class="mord mathit" style="color:fuchsia;">t</span></span></span></span></span></td>
</tr>
</tbody>
</table>
<p>对于较新的浏览器（HTML5与CSS3），额外的124种颜色将被支持：</p>
<p>输入 <code>\color {#rgb} {text}</code> 来自定义更多的颜色，其中 <code>#rgb</code> 的 <code>r</code> <code>g</code> <code>b</code> 可输入 <code>0-9</code> 和 <code>a-f</code> 来表示红色、绿色和蓝色的纯度（饱和度）。</p>
<ul>
<li>例子：</li>
</ul>
<pre data-role="codeBlock" data-info="" class="language-"><code>\begin{array}{|rrrrrrrr|}\hline
\verb+#000+ &amp; \color{#000}{text} &amp; &amp; &amp;
\verb+#00F+ &amp; \color{#00F}{text} &amp; &amp; \\
&amp; &amp; \verb+#0F0+ &amp; \color{#0F0}{text} &amp;
&amp; &amp; \verb+#0FF+ &amp; \color{#0FF}{text}\\
\verb+#F00+ &amp; \color{#F00}{text} &amp; &amp; &amp;
\verb+#F0F+ &amp; \color{#F0F}{text} &amp; &amp; \\
&amp; &amp; \verb+#FF0+ &amp; \color{#FF0}{text} &amp;
&amp; &amp; \verb+#FFF+ &amp; \color{#FFF}{text}\\
\hline
\end{array}
</code></pre><ul>
<li>
<p>显示：<br>
\begin{array}{|rrrrrrrr|}\hline<br>
\verb+#000+ &amp; \color{#000}{text} &amp; &amp; &amp;<br>
\verb+#00F+ &amp; \color{#00F}{text} &amp; &amp; \<br>
&amp; &amp; \verb+#0F0+ &amp; \color{#0F0}{text} &amp;<br>
&amp; &amp; \verb+#0FF+ &amp; \color{#0FF}{text}\<br>
\verb+#F00+ &amp; \color{#F00}{text} &amp; &amp; &amp;<br>
\verb+#F0F+ &amp; \color{#F0F}{text} &amp; &amp; \<br>
&amp; &amp; \verb+#FF0+ &amp; \color{#FF0}{text} &amp;<br>
&amp; &amp; \verb+#FFF+ &amp; \color{#FFF}{text}\<br>
\hline<br>
\end{array}</p>
</li>
<li>
<p>例子：</p>
</li>
</ul>
<pre data-role="codeBlock" data-info="" class="language-"><code>\begin{array}{|rrrrrrrr|}
\hline
\verb+#000+ &amp; \color{#000}{text} &amp; \verb+#005+ &amp; \color{#005}{text} &amp; \verb+#00A+ &amp; \color{#00A}{text} &amp; \verb+#00F+ &amp; \color{#00F}{text}  \\
\verb+#500+ &amp; \color{#500}{text} &amp; \verb+#505+ &amp; \color{#505}{text} &amp; \verb+#50A+ &amp; \color{#50A}{text} &amp; \verb+#50F+ &amp; \color{#50F}{text}  \\
\verb+#A00+ &amp; \color{#A00}{text} &amp; \verb+#A05+ &amp; \color{#A05}{text} &amp; \verb+#A0A+ &amp; \color{#A0A}{text} &amp; \verb+#A0F+ &amp; \color{#A0F}{text}  \\
\verb+#F00+ &amp; \color{#F00}{text} &amp; \verb+#F05+ &amp; \color{#F05}{text} &amp; \verb+#F0A+ &amp; \color{#F0A}{text} &amp; \verb+#F0F+ &amp; \color{#F0F}{text}  \\
\hline
\verb+#080+ &amp; \color{#080}{text} &amp; \verb+#085+ &amp; \color{#085}{text} &amp; \verb+#08A+ &amp; \color{#08A}{text} &amp; \verb+#08F+ &amp; \color{#08F}{text}  \\
\verb+#580+ &amp; \color{#580}{text} &amp; \verb+#585+ &amp; \color{#585}{text} &amp; \verb+#58A+ &amp; \color{#58A}{text} &amp; \verb+#58F+ &amp; \color{#58F}{text}  \\
\verb+#A80+ &amp; \color{#A80}{text} &amp; \verb+#A85+ &amp; \color{#A85}{text} &amp; \verb+#A8A+ &amp; \color{#A8A}{text} &amp; \verb+#A8F+ &amp; \color{#A8F}{text}  \\
\verb+#F80+ &amp; \color{#F80}{text} &amp; \verb+#F85+ &amp; \color{#F85}{text} &amp; \verb+#F8A+ &amp; \color{#F8A}{text} &amp; \verb+#F8F+ &amp; \color{#F8F}{text}  \\
\hline
\verb+#0F0+ &amp; \color{#0F0}{text} &amp; \verb+#0F5+ &amp; \color{#0F5}{text} &amp; \verb+#0FA+ &amp; \color{#0FA}{text} &amp; \verb+#0FF+ &amp; \color{#0FF}{text}  \\
\verb+#5F0+ &amp; \color{#5F0}{text} &amp; \verb+#5F5+ &amp; \color{#5F5}{text} &amp; \verb+#5FA+ &amp; \color{#5FA}{text} &amp; \verb+#5FF+ &amp; \color{#5FF}{text}  \\
\verb+#AF0+ &amp; \color{#AF0}{text} &amp; \verb+#AF5+ &amp; \color{#AF5}{text} &amp; \verb+#AFA+ &amp; \color{#AFA}{text} &amp; \verb+#AFF+ &amp; \color{#AFF}{text}  \\
\verb+#FF0+ &amp; \color{#FF0}{text} &amp; \verb+#FF5+ &amp; \color{#FF5}{text} &amp; \verb+#FFA+ &amp; \color{#FFA}{text} &amp; \verb+#FFF+ &amp; \color{#FFF}{text}  \\
\hline
\end{array}
</code></pre><ul>
<li>显示：<br>
\begin{array}{|rrrrrrrr|}<br>
\hline<br>
\verb+#000+ &amp; \color{#000}{text} &amp; \verb+#005+ &amp; \color{#005}{text} &amp; \verb+#00A+ &amp; \color{#00A}{text} &amp; \verb+#00F+ &amp; \color{#00F}{text}  \<br>
\verb+#500+ &amp; \color{#500}{text} &amp; \verb+#505+ &amp; \color{#505}{text} &amp; \verb+#50A+ &amp; \color{#50A}{text} &amp; \verb+#50F+ &amp; \color{#50F}{text}  \<br>
\verb+#A00+ &amp; \color{#A00}{text} &amp; \verb+#A05+ &amp; \color{#A05}{text} &amp; \verb+#A0A+ &amp; \color{#A0A}{text} &amp; \verb+#A0F+ &amp; \color{#A0F}{text}  \<br>
\verb+#F00+ &amp; \color{#F00}{text} &amp; \verb+#F05+ &amp; \color{#F05}{text} &amp; \verb+#F0A+ &amp; \color{#F0A}{text} &amp; \verb+#F0F+ &amp; \color{#F0F}{text}  \<br>
\hline<br>
\verb+#080+ &amp; \color{#080}{text} &amp; \verb+#085+ &amp; \color{#085}{text} &amp; \verb+#08A+ &amp; \color{#08A}{text} &amp; \verb+#08F+ &amp; \color{#08F}{text}  \<br>
\verb+#580+ &amp; \color{#580}{text} &amp; \verb+#585+ &amp; \color{#585}{text} &amp; \verb+#58A+ &amp; \color{#58A}{text} &amp; \verb+#58F+ &amp; \color{#58F}{text}  \<br>
\verb+#A80+ &amp; \color{#A80}{text} &amp; \verb+#A85+ &amp; \color{#A85}{text} &amp; \verb+#A8A+ &amp; \color{#A8A}{text} &amp; \verb+#A8F+ &amp; \color{#A8F}{text}  \<br>
\verb+#F80+ &amp; \color{#F80}{text} &amp; \verb+#F85+ &amp; \color{#F85}{text} &amp; \verb+#F8A+ &amp; \color{#F8A}{text} &amp; \verb+#F8F+ &amp; \color{#F8F}{text}  \<br>
\hline<br>
\verb+#0F0+ &amp; \color{#0F0}{text} &amp; \verb+#0F5+ &amp; \color{#0F5}{text} &amp; \verb+#0FA+ &amp; \color{#0FA}{text} &amp; \verb+#0FF+ &amp; \color{#0FF}{text}  \<br>
\verb+#5F0+ &amp; \color{#5F0}{text} &amp; \verb+#5F5+ &amp; \color{#5F5}{text} &amp; \verb+#5FA+ &amp; \color{#5FA}{text} &amp; \verb+#5FF+ &amp; \color{#5FF}{text}  \<br>
\verb+#AF0+ &amp; \color{#AF0}{text} &amp; \verb+#AF5+ &amp; \color{#AF5}{text} &amp; \verb+#AFA+ &amp; \color{#AFA}{text} &amp; \verb+#AFF+ &amp; \color{#AFF}{text}  \<br>
\verb+#FF0+ &amp; \color{#FF0}{text} &amp; \verb+#FF5+ &amp; \color{#FF5}{text} &amp; \verb+#FFA+ &amp; \color{#FFA}{text} &amp; \verb+#FFF+ &amp; \color{#FFF}{text}  \<br>
\hline<br>
\end{array}</li>
</ul>
<h3 class="mume-header" id="5%E6%B7%BB%E5%8A%A0%E5%88%A0%E9%99%A4%E7%BA%BF">(5)．添加删除线</h3>

<p>使用删除线功能必须声明 <code>$$</code> 符号。</p>
<p>在公式内使用 <code>\require{cancel}</code> 来允许 <strong>片段删除线</strong> 的显示。<br>
声明片段删除线后，使用 <code>\cancel{字符}</code>、<code>\bcancel{字符}</code>、<code>\xcancel{字符}</code> 和 <code>\cancelto{字符}</code> 来实现各种片段删除线效果。</p>
<ul>
<li>例子：</li>
</ul>
<pre data-role="codeBlock" data-info="" class="language-"><code>$$
\require{cancel}\begin{array}{rl}
\verb|y+\cancel{x}| &amp; y+\cancel{x}\\
\verb|\cancel{y+x}| &amp; \cancel{y+x}\\
\verb|y+\bcancel{x}| &amp; y+\bcancel{x}\\
\verb|y+\xcancel{x}| &amp; y+\xcancel{x}\\
\verb|y+\cancelto{0}{x}| &amp; y+\cancelto{0}{x}\\
\verb+\frac{1\cancel9}{\cancel95} = \frac15+&amp; \frac{1\cancel9}{\cancel95} = \frac15 \\
\end{array}
$$
</code></pre><ul>
<li>显示：<br>
<span style="color: #ee7f49; font-weight: 500;">ParseError: KaTeX parse error: Expected 'EOF', got '\require' at position 1: \̲r̲e̲q̲u̲i̲r̲e̲{cancel}
\begin…</span></li>
</ul>
<p>使用 <code>\require{enclose}</code> 来允许 <strong>整段删除线</strong> 的显示。<br>
声明整段删除线后，使用 <code>\enclose{删除线效果}{字符}</code> 来实现各种整段删除线效果。<br>
其中，删除线效果有 <code>horizontalstrike</code>、<code>verticalstrike</code>、<code>updiagonalstrike</code> 和 <code>downdiagonalstrike</code>，可叠加使用。</p>
<ul>
<li>例子：</li>
</ul>
<pre data-role="codeBlock" data-info="" class="language-"><code>$$
\require{enclose}\begin{array}{rl}
\verb|\enclose{horizontalstrike}{x+y}| &amp; \enclose{horizontalstrike}{x+y}\\
\verb|\enclose{verticalstrike}{\frac xy}| &amp; \enclose{verticalstrike}{\frac xy}\\
\verb|\enclose{updiagonalstrike}{x+y}| &amp; \enclose{updiagonalstrike}{x+y}\\
\verb|\enclose{downdiagonalstrike}{x+y}| &amp; \enclose{downdiagonalstrike}{x+y}\\
\verb|\enclose{horizontalstrike,updiagonalstrike}{x+y}| &amp; \enclose{horizontalstrike,updiagonalstrike}{x+y}\\
\end{array}
$$
</code></pre><ul>
<li>显示：<br>
<span style="color: #ee7f49; font-weight: 500;">ParseError: KaTeX parse error: Expected 'EOF', got '\require' at position 1: \̲r̲e̲q̲u̲i̲r̲e̲{enclose}\begin…</span></li>
</ul>
<p>此外， <code>\enclose</code> 命令还可以产生包围的边框和圆等，参见 <a href="https://developer.mozilla.org/en-US/docs/Web/MathML/Element/menclose">MathML Menclose Documentation</a> 以查看更多效果。</p>
<h1 class="mume-header" id="%E4%BA%8C-%E7%9F%A9%E9%98%B5%E4%BD%BF%E7%94%A8%E5%8F%82%E8%80%83">二、矩阵使用参考</h1>

<h2 class="mume-header" id="1%E5%A6%82%E4%BD%95%E8%BE%93%E5%85%A5%E6%97%A0%E6%A1%86%E7%9F%A9%E9%98%B5">1．如何输入无框矩阵</h2>

<p>在开头使用 <code>begin{matrix}</code>，在结尾使用 <code>end{matrix}</code>，在中间插入矩阵元素，每个元素之间插入 <code>&amp;</code> ，并在每行结尾处使用 <code>\\</code> 。<br>
使用矩阵时必须声明 <code>$</code> 或 <code>$$</code> 符号。</p>
<ul>
<li>例子：</li>
</ul>
<pre data-role="codeBlock" data-info="" class="language-"><code>$$
        \begin{matrix}
        1 &amp; x &amp; x^2 \\
        1 &amp; y &amp; y^2 \\
        1 &amp; z &amp; z^2 \\
        \end{matrix}
$$
</code></pre><ul>
<li>显示：<br>
<span class="katex-display"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mtable><mtr><mtd><mstyle scriptlevel="0" displaystyle="false"><mrow><mn>1</mn></mrow></mstyle></mtd><mtd><mstyle scriptlevel="0" displaystyle="false"><mrow><mi>x</mi></mrow></mstyle></mtd><mtd><mstyle scriptlevel="0" displaystyle="false"><mrow><msup><mi>x</mi><mn>2</mn></msup></mrow></mstyle></mtd></mtr><mtr><mtd><mstyle scriptlevel="0" displaystyle="false"><mrow><mn>1</mn></mrow></mstyle></mtd><mtd><mstyle scriptlevel="0" displaystyle="false"><mrow><mi>y</mi></mrow></mstyle></mtd><mtd><mstyle scriptlevel="0" displaystyle="false"><mrow><msup><mi>y</mi><mn>2</mn></msup></mrow></mstyle></mtd></mtr><mtr><mtd><mstyle scriptlevel="0" displaystyle="false"><mrow><mn>1</mn></mrow></mstyle></mtd><mtd><mstyle scriptlevel="0" displaystyle="false"><mrow><mi>z</mi></mrow></mstyle></mtd><mtd><mstyle scriptlevel="0" displaystyle="false"><mrow><msup><mi>z</mi><mn>2</mn></msup></mrow></mstyle></mtd></mtr></mtable></mrow><annotation encoding="application/x-tex">\begin{matrix}
      1 &amp; x &amp; x^2 \\
      1 &amp; y &amp; y^2 \\
      1 &amp; z &amp; z^2 \\
      \end{matrix}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:2.05em;"></span><span class="strut bottom" style="height:3.6000000000000005em;vertical-align:-1.5500000000000007em;"></span><span class="base"><span class="mord"><span class="mtable"><span class="col-align-c"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:2.05em;"><span style="top:-4.21em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord">1</span></span></span><span style="top:-3.0099999999999993em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord">1</span></span></span><span style="top:-1.8099999999999994em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord">1</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:1.5500000000000007em;"></span></span></span></span><span class="arraycolsep" style="width:0.5em;"></span><span class="arraycolsep" style="width:0.5em;"></span><span class="col-align-c"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:2.05em;"><span style="top:-4.21em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord mathit">x</span></span></span><span style="top:-3.0099999999999993em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord mathit" style="margin-right:0.03588em;">y</span></span></span><span style="top:-1.8099999999999994em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord mathit" style="margin-right:0.04398em;">z</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:1.5500000000000007em;"></span></span></span></span><span class="arraycolsep" style="width:0.5em;"></span><span class="arraycolsep" style="width:0.5em;"></span><span class="col-align-c"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:2.05em;"><span style="top:-4.21em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord"><span class="mord mathit">x</span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.8141079999999999em;"><span style="top:-3.063em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">2</span></span></span></span></span></span></span></span></span></span><span style="top:-3.0099999999999993em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord"><span class="mord mathit" style="margin-right:0.03588em;">y</span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.8141079999999999em;"><span style="top:-3.063em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">2</span></span></span></span></span></span></span></span></span></span><span style="top:-1.8099999999999994em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord"><span class="mord mathit" style="margin-right:0.04398em;">z</span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.8141079999999999em;"><span style="top:-3.063em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">2</span></span></span></span></span></span></span></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:1.5500000000000007em;"></span></span></span></span></span></span></span></span></span></span></li>
</ul>
<h2 class="mume-header" id="2%E5%A6%82%E4%BD%95%E8%BE%93%E5%85%A5%E8%BE%B9%E6%A1%86%E7%9F%A9%E9%98%B5">2．如何输入边框矩阵</h2>

<p>在开头将 <code>matrix</code> 替换为 <code>pmatrix</code> <code>bmatrix</code> <code>Bmatrix</code> <code>vmatrix</code> <code>Vmatrix</code> 。</p>
<ul>
<li>例子：</li>
</ul>
<pre data-role="codeBlock" data-info="" class="language-"><code>$ \begin{matrix} 1 &amp; 2 \\ 3 &amp; 4 \\ \end{matrix} $
$ \begin{pmatrix} 1 &amp; 2 \\ 3 &amp; 4 \\ \end{pmatrix} $
$ \begin{bmatrix} 1 &amp; 2 \\ 3 &amp; 4 \\ \end{bmatrix} $
$ \begin{Bmatrix} 1 &amp; 2 \\ 3 &amp; 4 \\ \end{Bmatrix} $
$ \begin{vmatrix} 1 &amp; 2 \\ 3 &amp; 4 \\ \end{vmatrix} $
$ \begin{Vmatrix} 1 &amp; 2 \\ 3 &amp; 4 \\ \end{Vmatrix} $
</code></pre><ul>
<li>显示：<br>
|matrix|pmatrix|bmatrix|Bmatrix|vmatrix|Vmatrix|<br>
|:--😐:--😐:--😐:--😐:--😐:--😐<br>
|<span class="katex"><span class="katex-mathml"><math><semantics><mrow><mtable><mtr><mtd><mstyle scriptlevel="0" displaystyle="false"><mrow><mn>1</mn></mrow></mstyle></mtd><mtd><mstyle scriptlevel="0" displaystyle="false"><mrow><mn>2</mn></mrow></mstyle></mtd></mtr><mtr><mtd><mstyle scriptlevel="0" displaystyle="false"><mrow><mn>3</mn></mrow></mstyle></mtd><mtd><mstyle scriptlevel="0" displaystyle="false"><mrow><mn>4</mn></mrow></mstyle></mtd></mtr></mtable></mrow><annotation encoding="application/x-tex">\begin{matrix} 1 &amp; 2 \\ 3 &amp; 4 \\ \end{matrix}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:1.45em;"></span><span class="strut bottom" style="height:2.4000000000000004em;vertical-align:-0.9500000000000004em;"></span><span class="base"><span class="mord"><span class="mtable"><span class="col-align-c"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.45em;"><span style="top:-3.61em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord">1</span></span></span><span style="top:-2.4099999999999997em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord">3</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.9500000000000004em;"></span></span></span></span><span class="arraycolsep" style="width:0.5em;"></span><span class="arraycolsep" style="width:0.5em;"></span><span class="col-align-c"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.45em;"><span style="top:-3.61em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord">2</span></span></span><span style="top:-2.4099999999999997em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord">4</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.9500000000000004em;"></span></span></span></span></span></span></span></span></span>|<span class="katex"><span class="katex-mathml"><math><semantics><mrow><mrow><mo fence="true">(</mo><mtable><mtr><mtd><mstyle scriptlevel="0" displaystyle="false"><mrow><mn>1</mn></mrow></mstyle></mtd><mtd><mstyle scriptlevel="0" displaystyle="false"><mrow><mn>2</mn></mrow></mstyle></mtd></mtr><mtr><mtd><mstyle scriptlevel="0" displaystyle="false"><mrow><mn>3</mn></mrow></mstyle></mtd><mtd><mstyle scriptlevel="0" displaystyle="false"><mrow><mn>4</mn></mrow></mstyle></mtd></mtr></mtable><mo fence="true">)</mo></mrow></mrow><annotation encoding="application/x-tex">\begin{pmatrix} 1 &amp; 2 \\ 3 &amp; 4 \\ \end{pmatrix}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:1.45em;"></span><span class="strut bottom" style="height:2.40003em;vertical-align:-0.95003em;"></span><span class="base"><span class="minner"><span class="mopen delimcenter" style="top:0em;"><span class="delimsizing size3">(</span></span><span class="mord"><span class="mtable"><span class="col-align-c"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.45em;"><span style="top:-3.61em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord">1</span></span></span><span style="top:-2.4099999999999997em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord">3</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.9500000000000004em;"></span></span></span></span><span class="arraycolsep" style="width:0.5em;"></span><span class="arraycolsep" style="width:0.5em;"></span><span class="col-align-c"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.45em;"><span style="top:-3.61em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord">2</span></span></span><span style="top:-2.4099999999999997em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord">4</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.9500000000000004em;"></span></span></span></span></span></span><span class="mclose delimcenter" style="top:0em;"><span class="delimsizing size3">)</span></span></span></span></span></span>|<span class="katex"><span class="katex-mathml"><math><semantics><mrow><mrow><mo fence="true">[</mo><mtable><mtr><mtd><mstyle scriptlevel="0" displaystyle="false"><mrow><mn>1</mn></mrow></mstyle></mtd><mtd><mstyle scriptlevel="0" displaystyle="false"><mrow><mn>2</mn></mrow></mstyle></mtd></mtr><mtr><mtd><mstyle scriptlevel="0" displaystyle="false"><mrow><mn>3</mn></mrow></mstyle></mtd><mtd><mstyle scriptlevel="0" displaystyle="false"><mrow><mn>4</mn></mrow></mstyle></mtd></mtr></mtable><mo fence="true">]</mo></mrow></mrow><annotation encoding="application/x-tex">\begin{bmatrix} 1 &amp; 2 \\ 3 &amp; 4 \\ \end{bmatrix}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:1.45em;"></span><span class="strut bottom" style="height:2.40003em;vertical-align:-0.95003em;"></span><span class="base"><span class="minner"><span class="mopen delimcenter" style="top:0em;"><span class="delimsizing size3">[</span></span><span class="mord"><span class="mtable"><span class="col-align-c"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.45em;"><span style="top:-3.61em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord">1</span></span></span><span style="top:-2.4099999999999997em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord">3</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.9500000000000004em;"></span></span></span></span><span class="arraycolsep" style="width:0.5em;"></span><span class="arraycolsep" style="width:0.5em;"></span><span class="col-align-c"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.45em;"><span style="top:-3.61em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord">2</span></span></span><span style="top:-2.4099999999999997em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord">4</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.9500000000000004em;"></span></span></span></span></span></span><span class="mclose delimcenter" style="top:0em;"><span class="delimsizing size3">]</span></span></span></span></span></span>|<span class="katex"><span class="katex-mathml"><math><semantics><mrow><mrow><mo fence="true">{</mo><mtable><mtr><mtd><mstyle scriptlevel="0" displaystyle="false"><mrow><mn>1</mn></mrow></mstyle></mtd><mtd><mstyle scriptlevel="0" displaystyle="false"><mrow><mn>2</mn></mrow></mstyle></mtd></mtr><mtr><mtd><mstyle scriptlevel="0" displaystyle="false"><mrow><mn>3</mn></mrow></mstyle></mtd><mtd><mstyle scriptlevel="0" displaystyle="false"><mrow><mn>4</mn></mrow></mstyle></mtd></mtr></mtable><mo fence="true">}</mo></mrow></mrow><annotation encoding="application/x-tex">\begin{Bmatrix} 1 &amp; 2 \\ 3 &amp; 4 \\ \end{Bmatrix}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:1.45em;"></span><span class="strut bottom" style="height:2.40003em;vertical-align:-0.95003em;"></span><span class="base"><span class="minner"><span class="mopen delimcenter" style="top:0em;"><span class="delimsizing size3">{</span></span><span class="mord"><span class="mtable"><span class="col-align-c"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.45em;"><span style="top:-3.61em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord">1</span></span></span><span style="top:-2.4099999999999997em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord">3</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.9500000000000004em;"></span></span></span></span><span class="arraycolsep" style="width:0.5em;"></span><span class="arraycolsep" style="width:0.5em;"></span><span class="col-align-c"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.45em;"><span style="top:-3.61em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord">2</span></span></span><span style="top:-2.4099999999999997em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord">4</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.9500000000000004em;"></span></span></span></span></span></span><span class="mclose delimcenter" style="top:0em;"><span class="delimsizing size3">}</span></span></span></span></span></span>|<span class="katex"><span class="katex-mathml"><math><semantics><mrow><mrow><mo fence="true">∣</mo><mtable><mtr><mtd><mstyle scriptlevel="0" displaystyle="false"><mrow><mn>1</mn></mrow></mstyle></mtd><mtd><mstyle scriptlevel="0" displaystyle="false"><mrow><mn>2</mn></mrow></mstyle></mtd></mtr><mtr><mtd><mstyle scriptlevel="0" displaystyle="false"><mrow><mn>3</mn></mrow></mstyle></mtd><mtd><mstyle scriptlevel="0" displaystyle="false"><mrow><mn>4</mn></mrow></mstyle></mtd></mtr></mtable><mo fence="true">∣</mo></mrow></mrow><annotation encoding="application/x-tex">\begin{vmatrix} 1 &amp; 2 \\ 3 &amp; 4 \\ \end{vmatrix}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:1.47398em;"></span><span class="strut bottom" style="height:2.424em;vertical-align:-0.9500199999999999em;"></span><span class="base"><span class="minner"><span class="mopen"><span class="delimsizing mult"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.47398em;"><span style="top:-1.65598em;"><span class="pstrut" style="height:2.606em;"></span><span class="delimsizinginner delim-size1"><span>∣</span></span></span><span style="top:-2.26198em;"><span class="pstrut" style="height:2.606em;"></span><span class="delimsizinginner delim-size1"><span>∣</span></span></span><span style="top:-2.86798em;"><span class="pstrut" style="height:2.606em;"></span><span class="delimsizinginner delim-size1"><span>∣</span></span></span><span style="top:-3.47398em;"><span class="pstrut" style="height:2.606em;"></span><span class="delimsizinginner delim-size1"><span>∣</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.9500199999999999em;"></span></span></span></span></span><span class="mord"><span class="mtable"><span class="col-align-c"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.45em;"><span style="top:-3.61em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord">1</span></span></span><span style="top:-2.4099999999999997em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord">3</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.9500000000000004em;"></span></span></span></span><span class="arraycolsep" style="width:0.5em;"></span><span class="arraycolsep" style="width:0.5em;"></span><span class="col-align-c"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.45em;"><span style="top:-3.61em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord">2</span></span></span><span style="top:-2.4099999999999997em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord">4</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.9500000000000004em;"></span></span></span></span></span></span><span class="mclose"><span class="delimsizing mult"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.47398em;"><span style="top:-1.65598em;"><span class="pstrut" style="height:2.606em;"></span><span class="delimsizinginner delim-size1"><span>∣</span></span></span><span style="top:-2.26198em;"><span class="pstrut" style="height:2.606em;"></span><span class="delimsizinginner delim-size1"><span>∣</span></span></span><span style="top:-2.86798em;"><span class="pstrut" style="height:2.606em;"></span><span class="delimsizinginner delim-size1"><span>∣</span></span></span><span style="top:-3.47398em;"><span class="pstrut" style="height:2.606em;"></span><span class="delimsizinginner delim-size1"><span>∣</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.9500199999999999em;"></span></span></span></span></span></span></span></span></span>|<span class="katex"><span class="katex-mathml"><math><semantics><mrow><mrow><mo fence="true">∥</mo><mtable><mtr><mtd><mstyle scriptlevel="0" displaystyle="false"><mrow><mn>1</mn></mrow></mstyle></mtd><mtd><mstyle scriptlevel="0" displaystyle="false"><mrow><mn>2</mn></mrow></mstyle></mtd></mtr><mtr><mtd><mstyle scriptlevel="0" displaystyle="false"><mrow><mn>3</mn></mrow></mstyle></mtd><mtd><mstyle scriptlevel="0" displaystyle="false"><mrow><mn>4</mn></mrow></mstyle></mtd></mtr></mtable><mo fence="true">∥</mo></mrow></mrow><annotation encoding="application/x-tex">\begin{Vmatrix} 1 &amp; 2 \\ 3 &amp; 4 \\ \end{Vmatrix}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:1.47398em;"></span><span class="strut bottom" style="height:2.424em;vertical-align:-0.9500199999999999em;"></span><span class="base"><span class="minner"><span class="mopen"><span class="delimsizing mult"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.47398em;"><span style="top:-1.65598em;"><span class="pstrut" style="height:2.606em;"></span><span class="delimsizinginner delim-size1"><span>∥</span></span></span><span style="top:-2.26198em;"><span class="pstrut" style="height:2.606em;"></span><span class="delimsizinginner delim-size1"><span>∥</span></span></span><span style="top:-2.86798em;"><span class="pstrut" style="height:2.606em;"></span><span class="delimsizinginner delim-size1"><span>∥</span></span></span><span style="top:-3.47398em;"><span class="pstrut" style="height:2.606em;"></span><span class="delimsizinginner delim-size1"><span>∥</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.9500199999999999em;"></span></span></span></span></span><span class="mord"><span class="mtable"><span class="col-align-c"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.45em;"><span style="top:-3.61em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord">1</span></span></span><span style="top:-2.4099999999999997em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord">3</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.9500000000000004em;"></span></span></span></span><span class="arraycolsep" style="width:0.5em;"></span><span class="arraycolsep" style="width:0.5em;"></span><span class="col-align-c"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.45em;"><span style="top:-3.61em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord">2</span></span></span><span style="top:-2.4099999999999997em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord">4</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.9500000000000004em;"></span></span></span></span></span></span><span class="mclose"><span class="delimsizing mult"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.47398em;"><span style="top:-1.65598em;"><span class="pstrut" style="height:2.606em;"></span><span class="delimsizinginner delim-size1"><span>∥</span></span></span><span style="top:-2.26198em;"><span class="pstrut" style="height:2.606em;"></span><span class="delimsizinginner delim-size1"><span>∥</span></span></span><span style="top:-2.86798em;"><span class="pstrut" style="height:2.606em;"></span><span class="delimsizinginner delim-size1"><span>∥</span></span></span><span style="top:-3.47398em;"><span class="pstrut" style="height:2.606em;"></span><span class="delimsizinginner delim-size1"><span>∥</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.9500199999999999em;"></span></span></span></span></span></span></span></span></span>|</li>
</ul>
<h2 class="mume-header" id="3%E5%A6%82%E4%BD%95%E8%BE%93%E5%85%A5%E5%B8%A6%E7%9C%81%E7%95%A5%E7%AC%A6%E5%8F%B7%E7%9A%84%E7%9F%A9%E9%98%B5">3．如何输入带省略符号的矩阵</h2>

<p>使用 <code>\cdots</code> <span class="katex"><span class="katex-mathml"><math><semantics><mrow><mo>⋯</mo></mrow><annotation encoding="application/x-tex">\cdots</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.31em;"></span><span class="strut bottom" style="height:0.31em;vertical-align:0em;"></span><span class="base"><span class="minner">⋯</span></span></span></span> , <code>\ddots</code> <span class="katex"><span class="katex-mathml"><math><semantics><mrow><mo>⋱</mo></mrow><annotation encoding="application/x-tex">\ddots</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.82em;"></span><span class="strut bottom" style="height:0.82em;vertical-align:0em;"></span><span class="base"><span class="minner">⋱</span></span></span></span> , <code>\vdots</code> <span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi mathvariant="normal">⋮</mi></mrow><annotation encoding="application/x-tex">\vdots</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.9em;"></span><span class="strut bottom" style="height:0.93em;vertical-align:-0.03em;"></span><span class="base"><span class="mord">⋮</span></span></span></span> 来输入省略符号。</p>
<ul>
<li>例子：</li>
</ul>
<pre data-role="codeBlock" data-info="" class="language-"><code>$$
        \begin{pmatrix}
        1 &amp; a_1 &amp; a_1^2 &amp; \cdots &amp; a_1^n \\
        1 &amp; a_2 &amp; a_2^2 &amp; \cdots &amp; a_2^n \\
        \vdots &amp; \vdots &amp; \vdots &amp; \ddots &amp; \vdots \\
        1 &amp; a_m &amp; a_m^2 &amp; \cdots &amp; a_m^n \\
        \end{pmatrix}
$$
</code></pre><ul>
<li>显示：<br>
<span class="katex-display"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mrow><mo fence="true">(</mo><mtable><mtr><mtd><mstyle scriptlevel="0" displaystyle="false"><mrow><mn>1</mn></mrow></mstyle></mtd><mtd><mstyle scriptlevel="0" displaystyle="false"><mrow><msub><mi>a</mi><mn>1</mn></msub></mrow></mstyle></mtd><mtd><mstyle scriptlevel="0" displaystyle="false"><mrow><msubsup><mi>a</mi><mn>1</mn><mn>2</mn></msubsup></mrow></mstyle></mtd><mtd><mstyle scriptlevel="0" displaystyle="false"><mrow><mo>⋯</mo></mrow></mstyle></mtd><mtd><mstyle scriptlevel="0" displaystyle="false"><mrow><msubsup><mi>a</mi><mn>1</mn><mi>n</mi></msubsup></mrow></mstyle></mtd></mtr><mtr><mtd><mstyle scriptlevel="0" displaystyle="false"><mrow><mn>1</mn></mrow></mstyle></mtd><mtd><mstyle scriptlevel="0" displaystyle="false"><mrow><msub><mi>a</mi><mn>2</mn></msub></mrow></mstyle></mtd><mtd><mstyle scriptlevel="0" displaystyle="false"><mrow><msubsup><mi>a</mi><mn>2</mn><mn>2</mn></msubsup></mrow></mstyle></mtd><mtd><mstyle scriptlevel="0" displaystyle="false"><mrow><mo>⋯</mo></mrow></mstyle></mtd><mtd><mstyle scriptlevel="0" displaystyle="false"><mrow><msubsup><mi>a</mi><mn>2</mn><mi>n</mi></msubsup></mrow></mstyle></mtd></mtr><mtr><mtd><mstyle scriptlevel="0" displaystyle="false"><mrow><mi mathvariant="normal">⋮</mi></mrow></mstyle></mtd><mtd><mstyle scriptlevel="0" displaystyle="false"><mrow><mi mathvariant="normal">⋮</mi></mrow></mstyle></mtd><mtd><mstyle scriptlevel="0" displaystyle="false"><mrow><mi mathvariant="normal">⋮</mi></mrow></mstyle></mtd><mtd><mstyle scriptlevel="0" displaystyle="false"><mrow><mo>⋱</mo></mrow></mstyle></mtd><mtd><mstyle scriptlevel="0" displaystyle="false"><mrow><mi mathvariant="normal">⋮</mi></mrow></mstyle></mtd></mtr><mtr><mtd><mstyle scriptlevel="0" displaystyle="false"><mrow><mn>1</mn></mrow></mstyle></mtd><mtd><mstyle scriptlevel="0" displaystyle="false"><mrow><msub><mi>a</mi><mi>m</mi></msub></mrow></mstyle></mtd><mtd><mstyle scriptlevel="0" displaystyle="false"><mrow><msubsup><mi>a</mi><mi>m</mi><mn>2</mn></msubsup></mrow></mstyle></mtd><mtd><mstyle scriptlevel="0" displaystyle="false"><mrow><mo>⋯</mo></mrow></mstyle></mtd><mtd><mstyle scriptlevel="0" displaystyle="false"><mrow><msubsup><mi>a</mi><mi>m</mi><mi>n</mi></msubsup></mrow></mstyle></mtd></mtr></mtable><mo fence="true">)</mo></mrow></mrow><annotation encoding="application/x-tex">\begin{pmatrix}
      1 &amp; a_1 &amp; a_1^2 &amp; \cdots &amp; a_1^n \\
      1 &amp; a_2 &amp; a_2^2 &amp; \cdots &amp; a_2^n \\
      \vdots &amp; \vdots &amp; \vdots &amp; \ddots &amp; \vdots \\
      1 &amp; a_m &amp; a_m^2 &amp; \cdots &amp; a_m^n \\
      \end{pmatrix}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:2.68em;"></span><span class="strut bottom" style="height:4.859999999999999em;vertical-align:-2.1799999999999997em;"></span><span class="base"><span class="minner"><span class="mopen"><span class="delimsizing mult"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:2.6500299999999997em;"><span style="top:-1.6499900000000003em;"><span class="pstrut" style="height:3.1550000000000002em;"></span><span class="delimsizinginner delim-size4"><span>⎝</span></span></span><span style="top:-2.805em;"><span class="pstrut" style="height:3.1550000000000002em;"></span><span class="delimsizinginner delim-size4"><span>⎜</span></span></span><span style="top:-3.4050100000000003em;"><span class="pstrut" style="height:3.1550000000000002em;"></span><span class="delimsizinginner delim-size4"><span>⎜</span></span></span><span style="top:-4.65003em;"><span class="pstrut" style="height:3.1550000000000002em;"></span><span class="delimsizinginner delim-size4"><span>⎛</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:2.15003em;"></span></span></span></span></span><span class="mord"><span class="mtable"><span class="col-align-c"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:2.68em;"><span style="top:-4.840000000000001em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord">1</span></span></span><span style="top:-3.6399999999999997em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord">1</span></span></span><span style="top:-2.38em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord">⋮</span></span></span><span style="top:-1.1800000000000004em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord">1</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:2.1799999999999997em;"></span></span></span></span><span class="arraycolsep" style="width:0.5em;"></span><span class="arraycolsep" style="width:0.5em;"></span><span class="col-align-c"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:2.68em;"><span style="top:-4.840000000000001em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord"><span class="mord mathit">a</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.30110799999999993em;"><span style="top:-2.5500000000000003em;margin-left:0em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">1</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"></span></span></span></span></span></span></span><span style="top:-3.6399999999999997em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord"><span class="mord mathit">a</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.30110799999999993em;"><span style="top:-2.5500000000000003em;margin-left:0em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">2</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"></span></span></span></span></span></span></span><span style="top:-2.38em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord">⋮</span></span></span><span style="top:-1.1800000000000004em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord"><span class="mord mathit">a</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.151392em;"><span style="top:-2.5500000000000003em;margin-left:0em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mathit mtight">m</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"></span></span></span></span></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:2.1799999999999997em;"></span></span></span></span><span class="arraycolsep" style="width:0.5em;"></span><span class="arraycolsep" style="width:0.5em;"></span><span class="col-align-c"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:2.68em;"><span style="top:-4.840000000000001em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord"><span class="mord mathit">a</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.8141079999999999em;"><span style="top:-2.4518920000000004em;margin-left:0em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">1</span></span></span><span style="top:-3.063em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">2</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.24810799999999997em;"></span></span></span></span></span></span></span><span style="top:-3.6399999999999997em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord"><span class="mord mathit">a</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.8141079999999999em;"><span style="top:-2.4518920000000004em;margin-left:0em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">2</span></span></span><span style="top:-3.063em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">2</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.24810799999999997em;"></span></span></span></span></span></span></span><span style="top:-2.38em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord">⋮</span></span></span><span style="top:-1.1800000000000004em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord"><span class="mord mathit">a</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.8141079999999999em;"><span style="top:-2.4530000000000003em;margin-left:0em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mathit mtight">m</span></span></span><span style="top:-3.063em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">2</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.247em;"></span></span></span></span></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:2.1799999999999997em;"></span></span></span></span><span class="arraycolsep" style="width:0.5em;"></span><span class="arraycolsep" style="width:0.5em;"></span><span class="col-align-c"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:2.68em;"><span style="top:-4.840000000000001em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="minner">⋯</span></span></span><span style="top:-3.6399999999999997em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="minner">⋯</span></span></span><span style="top:-2.38em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="minner">⋱</span></span></span><span style="top:-1.1800000000000004em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="minner">⋯</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:2.1799999999999997em;"></span></span></span></span><span class="arraycolsep" style="width:0.5em;"></span><span class="arraycolsep" style="width:0.5em;"></span><span class="col-align-c"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:2.68em;"><span style="top:-4.840000000000001em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord"><span class="mord mathit">a</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.664392em;"><span style="top:-2.4518920000000004em;margin-left:0em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">1</span></span></span><span style="top:-3.063em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mathit mtight">n</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.24810799999999997em;"></span></span></span></span></span></span></span><span style="top:-3.6399999999999997em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord"><span class="mord mathit">a</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.664392em;"><span style="top:-2.4518920000000004em;margin-left:0em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">2</span></span></span><span style="top:-3.063em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mathit mtight">n</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.24810799999999997em;"></span></span></span></span></span></span></span><span style="top:-2.38em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord">⋮</span></span></span><span style="top:-1.1800000000000004em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord"><span class="mord mathit">a</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.664392em;"><span style="top:-2.4530000000000003em;margin-left:0em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mathit mtight">m</span></span></span><span style="top:-3.063em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mathit mtight">n</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.247em;"></span></span></span></span></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:2.1799999999999997em;"></span></span></span></span></span></span><span class="mclose"><span class="delimsizing mult"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:2.6500299999999997em;"><span style="top:-1.6499900000000003em;"><span class="pstrut" style="height:3.1550000000000002em;"></span><span class="delimsizinginner delim-size4"><span>⎠</span></span></span><span style="top:-2.805em;"><span class="pstrut" style="height:3.1550000000000002em;"></span><span class="delimsizinginner delim-size4"><span>⎟</span></span></span><span style="top:-3.4050100000000003em;"><span class="pstrut" style="height:3.1550000000000002em;"></span><span class="delimsizinginner delim-size4"><span>⎟</span></span></span><span style="top:-4.65003em;"><span class="pstrut" style="height:3.1550000000000002em;"></span><span class="delimsizinginner delim-size4"><span>⎞</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:2.15003em;"></span></span></span></span></span></span></span></span></span></span></li>
</ul>
<h2 class="mume-header" id="4%E5%A6%82%E4%BD%95%E8%BE%93%E5%85%A5%E5%B8%A6%E5%88%86%E5%89%B2%E7%AC%A6%E5%8F%B7%E7%9A%84%E7%9F%A9%E9%98%B5">4．如何输入带分割符号的矩阵</h2>

<p>详见&quot;<a href="#%E4%BA%94%E6%95%B0%E7%BB%84%E4%B8%8E%E8%A1%A8%E6%A0%BC%E4%BD%BF%E7%94%A8%E5%8F%82%E8%80%83">数组使用参考</a>&quot;。</p>
<ul>
<li>例子：</li>
</ul>
<pre data-role="codeBlock" data-info="" class="language-"><code>$$
\left[
    \begin{array}{cc|c}
      1&amp;2&amp;3\\
      4&amp;5&amp;6
    \end{array}
\right]
$$
</code></pre><ul>
<li>显示：<br>
<span class="katex-display"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mrow><mo fence="true">[</mo><mtable><mtr><mtd><mstyle scriptlevel="0" displaystyle="false"><mrow><mn>1</mn></mrow></mstyle></mtd><mtd><mstyle scriptlevel="0" displaystyle="false"><mrow><mn>2</mn></mrow></mstyle></mtd><mtd><mstyle scriptlevel="0" displaystyle="false"><mrow><mn>3</mn></mrow></mstyle></mtd></mtr><mtr><mtd><mstyle scriptlevel="0" displaystyle="false"><mrow><mn>4</mn></mrow></mstyle></mtd><mtd><mstyle scriptlevel="0" displaystyle="false"><mrow><mn>5</mn></mrow></mstyle></mtd><mtd><mstyle scriptlevel="0" displaystyle="false"><mrow><mn>6</mn></mrow></mstyle></mtd></mtr></mtable><mo fence="true">]</mo></mrow></mrow><annotation encoding="application/x-tex">\left[
  \begin{array}{cc|c}
    1&amp;2&amp;3\\
    4&amp;5&amp;6
  \end{array}
\right]</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:1.45em;"></span><span class="strut bottom" style="height:2.40003em;vertical-align:-0.95003em;"></span><span class="base"><span class="minner"><span class="mopen delimcenter" style="top:0em;"><span class="delimsizing size3">[</span></span><span class="mord"><span class="mtable"><span class="arraycolsep" style="width:0.5em;"></span><span class="col-align-c"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.45em;"><span style="top:-3.61em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord">1</span></span></span><span style="top:-2.4099999999999997em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord">4</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.9500000000000004em;"></span></span></span></span><span class="arraycolsep" style="width:0.5em;"></span><span class="arraycolsep" style="width:0.5em;"></span><span class="col-align-c"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.45em;"><span style="top:-3.61em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord">2</span></span></span><span style="top:-2.4099999999999997em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord">5</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.9500000000000004em;"></span></span></span></span><span class="arraycolsep" style="width:0.5em;"></span><span class="vertical-separator" style="height:2.4em;vertical-align:-0.95em;"><svg width="0.25em" height="400em" viewBox="0 0 250 400000" preserveAspectRatio="xMinYMin slice"><path d="M100 0h50V400000h-50zM100 0h50V400000h-50z"></path></svg></span><span class="arraycolsep" style="width:0.5em;"></span><span class="col-align-c"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.45em;"><span style="top:-3.61em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord">3</span></span></span><span style="top:-2.4099999999999997em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord">6</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.9500000000000004em;"></span></span></span></span><span class="arraycolsep" style="width:0.5em;"></span></span></span><span class="mclose delimcenter" style="top:0em;"><span class="delimsizing size3">]</span></span></span></span></span></span></span></li>
</ul>
<p>其中 <code>cc|c</code> 代表在一个三列矩阵中的第二和第三列之间插入分割线。</p>
<h2 class="mume-header" id="5%E5%A6%82%E4%BD%95%E8%BE%93%E5%85%A5%E8%A1%8C%E4%B8%AD%E7%9F%A9%E9%98%B5">5．如何输入行中矩阵</h2>

<p>若想在一行内显示矩阵，<br>
使用<code>\bigl(\begin{smallmatrix} ... \end{smallmatrix}\bigr)</code>。</p>
<ul>
<li>例子：</li>
</ul>
<pre data-role="codeBlock" data-info="" class="language-"><code>&#x8FD9;&#x662F;&#x4E00;&#x4E2A;&#x884C;&#x4E2D;&#x77E9;&#x9635;&#x7684;&#x793A;&#x4F8B; $\bigl( \begin{smallmatrix} a &amp; b \\ c &amp; d \end{smallmatrix} \bigr)$ &#x3002;
</code></pre><ul>
<li>显示：这是一个行中矩阵的示例 <span style="color: #ee7f49; font-weight: 500;">ParseError: KaTeX parse error: No such environment: smallmatrix at position 14: \bigl( \begin{̲s̲m̲a̲l̲l̲m̲a̲t̲r̲i̲x̲}̲ a & b \\ c & d…</span> 。</li>
</ul>
<h1 class="mume-header" id="%E4%B8%89-%E6%96%B9%E7%A8%8B%E5%BC%8F%E5%BA%8F%E5%88%97%E4%BD%BF%E7%94%A8%E5%8F%82%E8%80%83">三、方程式序列使用参考</h1>

<h2 class="mume-header" id="1%E5%A6%82%E4%BD%95%E8%BE%93%E5%85%A5%E4%B8%80%E4%B8%AA%E6%96%B9%E7%A8%8B%E5%BC%8F%E5%BA%8F%E5%88%97">1．如何输入一个方程式序列</h2>

<p>人们经常想要一列整齐且居中的方程式序列。使用 <code>\begin{align}…\end{align}</code> 来创造一列方程式，其中在每行结尾处使用 <code>\\</code> 。<br>
使用方程式序列无需声明公式符号 <code>$</code> 或 <code>$$</code> 。</p>
<p>请注意 <code>{align}</code> 语句是 <strong>自动编号</strong> 的。</p>
<ul>
<li>例子：</li>
</ul>
<pre data-role="codeBlock" data-info="" class="language-"><code>\begin{align}
\sqrt{37} &amp; = \sqrt{\frac{73^2-1}{12^2}} \\
 &amp; = \sqrt{\frac{73^2}{12^2}\cdot\frac{73^2-1}{73^2}} \\ 
 &amp; = \sqrt{\frac{73^2}{12^2}}\sqrt{\frac{73^2-1}{73^2}} \\
 &amp; = \frac{73}{12}\sqrt{1 - \frac{1}{73^2}} \\ 
 &amp; \approx \frac{73}{12}\left(1 - \frac{1}{2\cdot73^2}\right)
\end{align}
</code></pre><ul>
<li>显示：<br>
\begin{align}<br>
\sqrt{37} &amp; = \sqrt{\frac{73<sup>2-1}{12</sup>2}} \<br>
&amp; = \sqrt{\frac{73<sup>2}{12</sup>2}\cdot\frac{73<sup>2-1}{73</sup>2}} \<br>
&amp; = \sqrt{\frac{73<sup>2}{12</sup>2}}\sqrt{\frac{73<sup>2-1}{73</sup>2}} \<br>
&amp; = \frac{73}{12}\sqrt{1 - \frac{1}{73^2}} \<br>
&amp; \approx \frac{73}{12}\left(1 - \frac{1}{2\cdot73^2}\right)<br>
\end{align}</li>
</ul>
<p>本例中每行公式的编号续自 <a href="#1%E5%A6%82%E4%BD%95%E6%8F%92%E5%85%A5%E5%85%AC%E5%BC%8F">如何插入公式</a> 中的自动编号公式 \eqref{eq:sample} 。</p>
<h2 class="mume-header" id="2%E5%9C%A8%E4%B8%80%E4%B8%AA%E6%96%B9%E7%A8%8B%E5%BC%8F%E5%BA%8F%E5%88%97%E7%9A%84%E6%AF%8F%E4%B8%80%E8%A1%8C%E4%B8%AD%E6%B3%A8%E6%98%8E%E5%8E%9F%E5%9B%A0">2．在一个方程式序列的每一行中注明原因</h2>

<p>在 <code>{align}</code> 中灵活组合 <code>\text</code> 和 <code>\tag</code> 语句。<code>\tag</code> 语句编号优先级高于自动编号。</p>
<ul>
<li>例子：</li>
</ul>
<pre data-role="codeBlock" data-info="" class="language-"><code>\begin{align}
   v + w &amp; = 0  &amp;\text{Given} \tag 1\\
   -w &amp; = -w + 0 &amp; \text{additive identity} \tag 2\\
   -w + 0 &amp; = -w + (v + w) &amp; \text{equations $(1)$ and $(2)$}
\end{align}
</code></pre><ul>
<li>显示：<br>
\begin{align}<br>
v + w &amp; = 0  &amp;\text{Given} \tag 1\<br>
-w &amp; = -w + 0 &amp; \text{additive identity} \tag 2\<br>
-w + 0 &amp; = -w + (v + w) &amp; \text{equations <span class="katex"><span class="katex-mathml"><math><semantics><mrow><mo>(</mo><mn>1</mn><mo>)</mo></mrow><annotation encoding="application/x-tex">(1)</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.75em;"></span><span class="strut bottom" style="height:1em;vertical-align:-0.25em;"></span><span class="base"><span class="mopen">(</span><span class="mord">1</span><span class="mclose">)</span></span></span></span> and <span class="katex"><span class="katex-mathml"><math><semantics><mrow><mo>(</mo><mn>2</mn><mo>)</mo></mrow><annotation encoding="application/x-tex">(2)</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.75em;"></span><span class="strut bottom" style="height:1em;vertical-align:-0.25em;"></span><span class="base"><span class="mopen">(</span><span class="mord">2</span><span class="mclose">)</span></span></span></span>}<br>
\end{align}</li>
</ul>
<p>本例中第一、第二行的自动编号被 <code>\tag</code> 语句覆盖，第三行的编号为自动编号。</p>
<h1 class="mume-header" id="%E5%9B%9B-%E6%9D%A1%E4%BB%B6%E8%A1%A8%E8%BE%BE%E5%BC%8F%E4%BD%BF%E7%94%A8%E5%8F%82%E8%80%83">四、条件表达式使用参考</h1>

<h2 class="mume-header" id="1%E5%A6%82%E4%BD%95%E8%BE%93%E5%85%A5%E4%B8%80%E4%B8%AA%E6%9D%A1%E4%BB%B6%E8%A1%A8%E8%BE%BE%E5%BC%8F">1．如何输入一个条件表达式</h2>

<p>使用 <code>begin{cases}</code> 来创造一组条件表达式，在每一行条件中插入 <code>&amp;</code> 来指定需要对齐的内容，并在每一行结尾处使用 <code>\\</code>，以 <code>end{cases}</code> 结束。<br>
条件表达式无需声明 <code>$</code> 或 <code>$$</code> 符号。</p>
<ul>
<li>例子：</li>
</ul>
<pre data-role="codeBlock" data-info="" class="language-"><code>$$
        f(n) =
        \begin{cases}
        n/2,  &amp; \text{if $n$ is even} \\
        3n+1, &amp; \text{if $n$ is odd}
        \end{cases}
$$
</code></pre><ul>
<li>显示：<br>
<span class="katex-display"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi>f</mi><mo>(</mo><mi>n</mi><mo>)</mo><mo>=</mo><mrow><mo fence="true">{</mo><mtable><mtr><mtd><mstyle scriptlevel="0" displaystyle="false"><mrow><mi>n</mi><mi mathvariant="normal">/</mi><mn>2</mn><mo separator="true">,</mo></mrow></mstyle></mtd><mtd><mstyle scriptlevel="0" displaystyle="false"><mrow><mrow><mtext>if  is even</mtext><mstyle scriptlevel="0" displaystyle="false"><mi>n</mi></mstyle></mrow></mrow></mstyle></mtd></mtr><mtr><mtd><mstyle scriptlevel="0" displaystyle="false"><mrow><mn>3</mn><mi>n</mi><mo>+</mo><mn>1</mn><mo separator="true">,</mo></mrow></mstyle></mtd><mtd><mstyle scriptlevel="0" displaystyle="false"><mrow><mrow><mtext>if  is odd</mtext><mstyle scriptlevel="0" displaystyle="false"><mi>n</mi></mstyle></mrow></mrow></mstyle></mtd></mtr></mtable></mrow></mrow><annotation encoding="application/x-tex">f(n) =
      \begin{cases}
      n/2,  &amp; \text{if $n$ is even} \\
      3n+1, &amp; \text{if $n$ is odd}
      \end{cases}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:1.75em;"></span><span class="strut bottom" style="height:3.0000299999999998em;vertical-align:-1.25003em;"></span><span class="base"><span class="mord mathit" style="margin-right:0.10764em;">f</span><span class="mopen">(</span><span class="mord mathit">n</span><span class="mclose">)</span><span class="mord rule" style="margin-right:0.2777777777777778em;"></span><span class="mrel">=</span><span class="mord rule" style="margin-right:0.2777777777777778em;"></span><span class="minner"><span class="mopen delimcenter" style="top:0em;"><span class="delimsizing size4">{</span></span><span class="mord"><span class="mtable"><span class="col-align-l"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.69em;"><span style="top:-3.69em;"><span class="pstrut" style="height:3.008em;"></span><span class="mord"><span class="mord mathit">n</span><span class="mord">/</span><span class="mord">2</span><span class="mpunct">,</span></span></span><span style="top:-2.25em;"><span class="pstrut" style="height:3.008em;"></span><span class="mord"><span class="mord">3</span><span class="mord mathit">n</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mbin">+</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mord">1</span><span class="mpunct">,</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:1.19em;"></span></span></span></span><span class="arraycolsep" style="width:1em;"></span><span class="col-align-l"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.69em;"><span style="top:-3.69em;"><span class="pstrut" style="height:3.008em;"></span><span class="mord"><span class="mord text"><span class="mord">if </span><span class="mord mathit">n</span><span class="mord"> is even</span></span></span></span><span style="top:-2.25em;"><span class="pstrut" style="height:3.008em;"></span><span class="mord"><span class="mord text"><span class="mord">if </span><span class="mord mathit">n</span><span class="mord"> is odd</span></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:1.19em;"></span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span></li>
</ul>
<h2 class="mume-header" id="2%E5%A6%82%E4%BD%95%E8%BE%93%E5%85%A5%E4%B8%80%E4%B8%AA%E5%B7%A6%E4%BE%A7%E5%AF%B9%E9%BD%90%E7%9A%84%E6%9D%A1%E4%BB%B6%E8%A1%A8%E8%BE%BE%E5%BC%8F">2．如何输入一个左侧对齐的条件表达式</h2>

<p>若想让文字在 <strong>左侧对齐显示</strong> ，则有如下方式：</p>
<ul>
<li>例子：</li>
</ul>
<pre data-role="codeBlock" data-info="" class="language-"><code>$$
        \left.
        \begin{array}{l}
        \text{if $n$ is even:}&amp;n/2\\
        \text{if $n$ is odd:}&amp;3n+1
        \end{array}
        \right\}
        =f(n)
$$
</code></pre><ul>
<li>显示：<br>
<span class="katex-display"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mrow><mtable><mtr><mtd><mstyle scriptlevel="0" displaystyle="false"><mrow><mrow><mtext>if  is even:</mtext><mstyle scriptlevel="0" displaystyle="false"><mi>n</mi></mstyle></mrow></mrow></mstyle></mtd><mtd><mstyle scriptlevel="0" displaystyle="false"><mrow><mi>n</mi><mi mathvariant="normal">/</mi><mn>2</mn></mrow></mstyle></mtd></mtr><mtr><mtd><mstyle scriptlevel="0" displaystyle="false"><mrow><mrow><mtext>if  is odd:</mtext><mstyle scriptlevel="0" displaystyle="false"><mi>n</mi></mstyle></mrow></mrow></mstyle></mtd><mtd><mstyle scriptlevel="0" displaystyle="false"><mrow><mn>3</mn><mi>n</mi><mo>+</mo><mn>1</mn></mrow></mstyle></mtd></mtr></mtable><mo fence="true">}</mo></mrow><mo>=</mo><mi>f</mi><mo>(</mo><mi>n</mi><mo>)</mo></mrow><annotation encoding="application/x-tex">\left.
      \begin{array}{l}
      \text{if $n$ is even:}&amp;n/2\\
      \text{if $n$ is odd:}&amp;3n+1
      \end{array}
      \right\}
      =f(n)</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:1.45em;"></span><span class="strut bottom" style="height:2.40003em;vertical-align:-0.95003em;"></span><span class="base"><span class="minner"><span class="mopen nulldelimiter"></span><span class="mord"><span class="mtable"><span class="arraycolsep" style="width:0.5em;"></span><span class="col-align-l"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.45em;"><span style="top:-3.61em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord text"><span class="mord">if </span><span class="mord mathit">n</span><span class="mord"> is even:</span></span></span></span><span style="top:-2.4099999999999997em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord text"><span class="mord">if </span><span class="mord mathit">n</span><span class="mord"> is odd:</span></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.9500000000000004em;"></span></span></span></span><span class="arraycolsep" style="width:0.5em;"></span><span class="arraycolsep" style="width:0.5em;"></span><span class="col-align-c"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.45em;"><span style="top:-3.61em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord mathit">n</span><span class="mord">/</span><span class="mord">2</span></span></span><span style="top:-2.4099999999999997em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord">3</span><span class="mord mathit">n</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mbin">+</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mord">1</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.9500000000000004em;"></span></span></span></span><span class="arraycolsep" style="width:0.5em;"></span></span></span><span class="mclose delimcenter" style="top:0em;"><span class="delimsizing size3">}</span></span></span><span class="mord rule" style="margin-right:0.2777777777777778em;"></span><span class="mrel">=</span><span class="mord rule" style="margin-right:0.2777777777777778em;"></span><span class="mord mathit" style="margin-right:0.10764em;">f</span><span class="mopen">(</span><span class="mord mathit">n</span><span class="mclose">)</span></span></span></span></span></li>
</ul>
<h2 class="mume-header" id="3%E5%A6%82%E4%BD%95%E4%BD%BF%E6%9D%A1%E4%BB%B6%E8%A1%A8%E8%BE%BE%E5%BC%8F%E9%80%82%E9%85%8D%E8%A1%8C%E9%AB%98">3．如何使条件表达式适配行高</h2>

<p>在一些情况下，条件表达式中某些行的行高为非标准高度，此时使用 <code>\\[2ex]</code> 语句代替该行末尾的 <code>\\</code> 来让编辑器适配。</p>
<ul>
<li>例子：<br>
|不适配[2ex]|<br>
|:--😐<br>
|</li>
</ul>
<pre data-role="codeBlock" data-info="" class="language-"><code>$$
f(n) = 
\begin{cases}
\frac{n}{2},  &amp; \text{if $n$ is even} \\
3n+1, &amp; \text{if $n$ is odd}
\end{cases}
$$
</code></pre><table>
<thead>
<tr>
<th style="text-align:center">适配[2ex]</th>
</tr>
</thead>
<tbody>
<tr>
<td style="text-align:center"></td>
</tr>
</tbody>
</table>
<pre data-role="codeBlock" data-info="" class="language-"><code>$$
f(n) = 
\begin{cases}
\frac{n}{2},  &amp; \text{if $n$ is even} \\[2ex]
3n+1, &amp; \text{if $n$ is odd}
\end{cases}
$$
</code></pre><ul>
<li>显示：<br>
|不适配[2ex]|<br>
|:--😐<br>
|<span class="katex-display"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi>f</mi><mo>(</mo><mi>n</mi><mo>)</mo><mo>=</mo><mrow><mo fence="true">{</mo><mtable><mtr><mtd><mstyle scriptlevel="0" displaystyle="false"><mrow><mfrac><mrow><mi>n</mi></mrow><mrow><mn>2</mn></mrow></mfrac><mo separator="true">,</mo></mrow></mstyle></mtd><mtd><mstyle scriptlevel="0" displaystyle="false"><mrow><mrow><mtext>if  is even</mtext><mstyle scriptlevel="0" displaystyle="false"><mi>n</mi></mstyle></mrow></mrow></mstyle></mtd></mtr><mtr><mtd><mstyle scriptlevel="0" displaystyle="false"><mrow><mn>3</mn><mi>n</mi><mo>+</mo><mn>1</mn><mo separator="true">,</mo></mrow></mstyle></mtd><mtd><mstyle scriptlevel="0" displaystyle="false"><mrow><mrow><mtext>if  is odd</mtext><mstyle scriptlevel="0" displaystyle="false"><mi>n</mi></mstyle></mrow></mrow></mstyle></mtd></mtr></mtable></mrow></mrow><annotation encoding="application/x-tex">f(n) =
\begin{cases}
\frac{n}{2},  &amp; \text{if $n$ is even} \\
3n+1, &amp; \text{if $n$ is odd}
\end{cases}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:1.75em;"></span><span class="strut bottom" style="height:3.0000299999999998em;vertical-align:-1.25003em;"></span><span class="base"><span class="mord mathit" style="margin-right:0.10764em;">f</span><span class="mopen">(</span><span class="mord mathit">n</span><span class="mclose">)</span><span class="mord rule" style="margin-right:0.2777777777777778em;"></span><span class="mrel">=</span><span class="mord rule" style="margin-right:0.2777777777777778em;"></span><span class="minner"><span class="mopen delimcenter" style="top:0em;"><span class="delimsizing size4">{</span></span><span class="mord"><span class="mtable"><span class="col-align-l"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.69em;"><span style="top:-3.69em;"><span class="pstrut" style="height:3.008em;"></span><span class="mord"><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.695392em;"><span style="top:-2.6550000000000002em;"><span class="pstrut" style="height:3em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight">2</span></span></span></span><span style="top:-3.15em;"><span class="pstrut" style="height:3em;"></span><span class="stretchy" style="height:0.2em;"><svg width="400em" height="0.2em" viewBox="0 0 400000 200" preserveAspectRatio="xMinYMin slice"><path d="M0 80H400000 v40H0z M0 80H400000 v40H0z"></path></svg></span></span><span style="top:-3.394em;"><span class="pstrut" style="height:3em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mathit mtight">n</span></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.345em;"></span></span></span></span><span class="mclose nulldelimiter"></span></span><span class="mpunct">,</span></span></span><span style="top:-2.25em;"><span class="pstrut" style="height:3.008em;"></span><span class="mord"><span class="mord">3</span><span class="mord mathit">n</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mbin">+</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mord">1</span><span class="mpunct">,</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:1.19em;"></span></span></span></span><span class="arraycolsep" style="width:1em;"></span><span class="col-align-l"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.69em;"><span style="top:-3.69em;"><span class="pstrut" style="height:3.008em;"></span><span class="mord"><span class="mord text"><span class="mord">if </span><span class="mord mathit">n</span><span class="mord"> is even</span></span></span></span><span style="top:-2.25em;"><span class="pstrut" style="height:3.008em;"></span><span class="mord"><span class="mord text"><span class="mord">if </span><span class="mord mathit">n</span><span class="mord"> is odd</span></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:1.19em;"></span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span>|</li>
</ul>
<table>
<thead>
<tr>
<th style="text-align:center">适配[2ex]</th>
</tr>
</thead>
<tbody>
<tr>
<td style="text-align:center">$$</td>
</tr>
</tbody>
</table>
<p>f(n) =<br>
\begin{cases}<br>
\frac{n}{2},  &amp; \text{if <span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi>n</mi></mrow><annotation encoding="application/x-tex">n</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.43056em;"></span><span class="strut bottom" style="height:0.43056em;vertical-align:0em;"></span><span class="base"><span class="mord mathit">n</span></span></span></span> is even} \[2ex]<br>
3n+1, &amp; \text{if <span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi>n</mi></mrow><annotation encoding="application/x-tex">n</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.43056em;"></span><span class="strut bottom" style="height:0.43056em;vertical-align:0em;"></span><span class="base"><span class="mord mathit">n</span></span></span></span> is odd}<br>
\end{cases}<br>
$$|</p>
<p><strong>一个 <code>[ex]</code> 指一个 &quot;X-Height&quot;，即x字母高度。可以根据情况指定多个 <code>[ex]</code>，如 <code>[3ex]</code>、<code>[4ex]</code> 等。</strong><br>
其实可以在任何地方使用 <code>\\[2ex]</code> 语句，只要你觉得合适。</p>
<h1 class="mume-header" id="%E4%BA%94-%E6%95%B0%E7%BB%84%E4%B8%8E%E8%A1%A8%E6%A0%BC%E4%BD%BF%E7%94%A8%E5%8F%82%E8%80%83">五、数组与表格使用参考</h1>

<h2 class="mume-header" id="1%E5%A6%82%E4%BD%95%E8%BE%93%E5%85%A5%E4%B8%80%E4%B8%AA%E6%95%B0%E7%BB%84%E6%88%96%E8%A1%A8%E6%A0%BC">1．如何输入一个数组或表格</h2>

<p>通常，一个格式化后的表格比单纯的文字或排版后的文字更具有可读性。数组和表格均以 <code>begin{array}</code> 开头，并在其后定义列数及每一列的文本对齐属性，<code>c</code> <code>l</code> <code>r</code> 分别代表居中、左对齐及右对齐。若需要插入垂直分割线，在定义式中插入 <code>|</code> ，若要插入水平分割线，在下一行输入前插入 <code>\hline</code> 。与矩阵相似，每行元素间均须要插入 <code>&amp;</code> ，每行元素以 <code>\\</code> 结尾，最后以 <code>end{array}</code> 结束数组。<br>
使用单个数组或表格时无需声明 <code>$</code> 或 <code>$$</code> 符号。</p>
<ul>
<li>例子：</li>
</ul>
<pre data-role="codeBlock" data-info="" class="language-"><code>\begin{array}{c|lcr}
n &amp; \text{&#x5DE6;&#x5BF9;&#x9F50;} &amp; \text{&#x5C45;&#x4E2D;&#x5BF9;&#x9F50;} &amp; \text{&#x53F3;&#x5BF9;&#x9F50;} \\
\hline
1 &amp; 0.24 &amp; 1 &amp; 125 \\
2 &amp; -1 &amp; 189 &amp; -8 \\
3 &amp; -20 &amp; 2000 &amp; 1+10i
\end{array}
</code></pre><ul>
<li>显示：<br>
\begin{array}{c|lcr}<br>
n &amp; \text{左对齐} &amp; \text{居中对齐} &amp; \text{右对齐} \<br>
\hline<br>
1 &amp; 0.24 &amp; 1 &amp; 125 \<br>
2 &amp; -1 &amp; 189 &amp; -8 \<br>
3 &amp; -20 &amp; 2000 &amp; 1+10i<br>
\end{array}</li>
</ul>
<h2 class="mume-header" id="2%E5%A6%82%E4%BD%95%E8%BE%93%E5%85%A5%E4%B8%80%E4%B8%AA%E5%B5%8C%E5%A5%97%E7%9A%84%E6%95%B0%E7%BB%84%E6%88%96%E8%A1%A8%E6%A0%BC">2．如何输入一个嵌套的数组或表格</h2>

<p>多个数组/表格可 <strong>互相嵌套</strong> 并组成一组数组/一组表格。<br>
使用嵌套前必须声明 <code>$$</code> 符号。</p>
<ul>
<li>例子：</li>
</ul>
<pre data-role="codeBlock" data-info="" class="language-"><code>$$
% outer vertical array of arrays &#x5916;&#x5C42;&#x5782;&#x76F4;&#x8868;&#x683C;
\begin{array}{c}
    % inner horizontal array of arrays &#x5185;&#x5C42;&#x6C34;&#x5E73;&#x8868;&#x683C;
    \begin{array}{cc}
        % inner array of minimum values &#x5185;&#x5C42;&quot;&#x6700;&#x5C0F;&#x503C;&quot;&#x6570;&#x7EC4;
        \begin{array}{c|cccc}
        \text{min} &amp; 0 &amp; 1 &amp; 2 &amp; 3\\
        \hline
        0 &amp; 0 &amp; 0 &amp; 0 &amp; 0\\
        1 &amp; 0 &amp; 1 &amp; 1 &amp; 1\\
        2 &amp; 0 &amp; 1 &amp; 2 &amp; 2\\
        3 &amp; 0 &amp; 1 &amp; 2 &amp; 3
        \end{array}
    &amp;
        % inner array of maximum values &#x5185;&#x5C42;&quot;&#x6700;&#x5927;&#x503C;&quot;&#x6570;&#x7EC4;
        \begin{array}{c|cccc}
        \text{max}&amp;0&amp;1&amp;2&amp;3\\
        \hline
        0 &amp; 0 &amp; 1 &amp; 2 &amp; 3\\
        1 &amp; 1 &amp; 1 &amp; 2 &amp; 3\\
        2 &amp; 2 &amp; 2 &amp; 2 &amp; 3\\
        3 &amp; 3 &amp; 3 &amp; 3 &amp; 3
        \end{array}
    \end{array}
    % &#x5185;&#x5C42;&#x7B2C;&#x4E00;&#x884C;&#x8868;&#x683C;&#x7EC4;&#x7ED3;&#x675F;
    \\
    % inner array of delta values &#x5185;&#x5C42;&#x7B2C;&#x4E8C;&#x884C;Delta&#x503C;&#x6570;&#x7EC4;
        \begin{array}{c|cccc}
        \Delta&amp;0&amp;1&amp;2&amp;3\\
        \hline
        0 &amp; 0 &amp; 1 &amp; 2 &amp; 3\\
        1 &amp; 1 &amp; 0 &amp; 1 &amp; 2\\
        2 &amp; 2 &amp; 1 &amp; 0 &amp; 1\\
        3 &amp; 3 &amp; 2 &amp; 1 &amp; 0
        \end{array}
        % &#x5185;&#x5C42;&#x7B2C;&#x4E8C;&#x884C;&#x8868;&#x683C;&#x7EC4;&#x7ED3;&#x675F;
\end{array}
$$
</code></pre><ul>
<li>显示：<br>
<span style="color: #ee7f49; font-weight: 500;">ParseError: KaTeX parse error: Expected & or \\ or \end at position 239: … 2 & 3\\
      \̲h̲l̲i̲n̲e̲
      0 & 0 & …</span></li>
</ul>
<h2 class="mume-header" id="3%E5%A6%82%E4%BD%95%E8%BE%93%E5%85%A5%E4%B8%80%E4%B8%AA%E6%96%B9%E7%A8%8B%E7%BB%84">3．如何输入一个方程组</h2>

<p>使用 <code>\begin{array}…\end{array}</code> 和 <code>\left\{…\right.</code> 来创建一个方程组。</p>
<ul>
<li>例子：</li>
</ul>
<pre data-role="codeBlock" data-info="" class="language-"><code>$$
\left\{ 
\begin{array}{c}
a_1x+b_1y+c_1z=d_1 \\ 
a_2x+b_2y+c_2z=d_2 \\ 
a_3x+b_3y+c_3z=d_3
\end{array}
\right. 
$$
</code></pre><ul>
<li>显示：<br>
<span class="katex-display"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mrow><mo fence="true">{</mo><mtable><mtr><mtd><mstyle scriptlevel="0" displaystyle="false"><mrow><msub><mi>a</mi><mn>1</mn></msub><mi>x</mi><mo>+</mo><msub><mi>b</mi><mn>1</mn></msub><mi>y</mi><mo>+</mo><msub><mi>c</mi><mn>1</mn></msub><mi>z</mi><mo>=</mo><msub><mi>d</mi><mn>1</mn></msub></mrow></mstyle></mtd></mtr><mtr><mtd><mstyle scriptlevel="0" displaystyle="false"><mrow><msub><mi>a</mi><mn>2</mn></msub><mi>x</mi><mo>+</mo><msub><mi>b</mi><mn>2</mn></msub><mi>y</mi><mo>+</mo><msub><mi>c</mi><mn>2</mn></msub><mi>z</mi><mo>=</mo><msub><mi>d</mi><mn>2</mn></msub></mrow></mstyle></mtd></mtr><mtr><mtd><mstyle scriptlevel="0" displaystyle="false"><mrow><msub><mi>a</mi><mn>3</mn></msub><mi>x</mi><mo>+</mo><msub><mi>b</mi><mn>3</mn></msub><mi>y</mi><mo>+</mo><msub><mi>c</mi><mn>3</mn></msub><mi>z</mi><mo>=</mo><msub><mi>d</mi><mn>3</mn></msub></mrow></mstyle></mtd></mtr></mtable></mrow></mrow><annotation encoding="application/x-tex">\left\{ 
\begin{array}{c}
a_1x+b_1y+c_1z=d_1 \\ 
a_2x+b_2y+c_2z=d_2 \\ 
a_3x+b_3y+c_3z=d_3
\end{array}
\right.</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:2.05002em;"></span><span class="strut bottom" style="height:3.60004em;vertical-align:-1.55002em;"></span><span class="base"><span class="minner"><span class="mopen"><span class="delimsizing mult"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:2.05002em;"><span style="top:-2.49999em;"><span class="pstrut" style="height:3.15em;"></span><span class="delimsizinginner delim-size4"><span>⎩</span></span></span><span style="top:-3.15001em;"><span class="pstrut" style="height:3.15em;"></span><span class="delimsizinginner delim-size4"><span>⎨</span></span></span><span style="top:-4.30002em;"><span class="pstrut" style="height:3.15em;"></span><span class="delimsizinginner delim-size4"><span>⎧</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:1.55002em;"></span></span></span></span></span><span class="mord"><span class="mtable"><span class="arraycolsep" style="width:0.5em;"></span><span class="col-align-c"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:2.05em;"><span style="top:-4.21em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord"><span class="mord mathit">a</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.30110799999999993em;"><span style="top:-2.5500000000000003em;margin-left:0em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">1</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"></span></span></span></span></span><span class="mord mathit">x</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mbin">+</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mord"><span class="mord mathit">b</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.30110799999999993em;"><span style="top:-2.5500000000000003em;margin-left:0em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">1</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"></span></span></span></span></span><span class="mord mathit" style="margin-right:0.03588em;">y</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mbin">+</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mord"><span class="mord mathit">c</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.30110799999999993em;"><span style="top:-2.5500000000000003em;margin-left:0em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">1</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"></span></span></span></span></span><span class="mord mathit" style="margin-right:0.04398em;">z</span><span class="mord rule" style="margin-right:0.2777777777777778em;"></span><span class="mrel">=</span><span class="mord rule" style="margin-right:0.2777777777777778em;"></span><span class="mord"><span class="mord mathit">d</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.30110799999999993em;"><span style="top:-2.5500000000000003em;margin-left:0em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">1</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"></span></span></span></span></span></span></span><span style="top:-3.0099999999999993em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord"><span class="mord mathit">a</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.30110799999999993em;"><span style="top:-2.5500000000000003em;margin-left:0em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">2</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"></span></span></span></span></span><span class="mord mathit">x</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mbin">+</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mord"><span class="mord mathit">b</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.30110799999999993em;"><span style="top:-2.5500000000000003em;margin-left:0em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">2</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"></span></span></span></span></span><span class="mord mathit" style="margin-right:0.03588em;">y</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mbin">+</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mord"><span class="mord mathit">c</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.30110799999999993em;"><span style="top:-2.5500000000000003em;margin-left:0em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">2</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"></span></span></span></span></span><span class="mord mathit" style="margin-right:0.04398em;">z</span><span class="mord rule" style="margin-right:0.2777777777777778em;"></span><span class="mrel">=</span><span class="mord rule" style="margin-right:0.2777777777777778em;"></span><span class="mord"><span class="mord mathit">d</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.30110799999999993em;"><span style="top:-2.5500000000000003em;margin-left:0em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">2</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"></span></span></span></span></span></span></span><span style="top:-1.8099999999999994em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord"><span class="mord mathit">a</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.30110799999999993em;"><span style="top:-2.5500000000000003em;margin-left:0em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">3</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"></span></span></span></span></span><span class="mord mathit">x</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mbin">+</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mord"><span class="mord mathit">b</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.30110799999999993em;"><span style="top:-2.5500000000000003em;margin-left:0em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">3</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"></span></span></span></span></span><span class="mord mathit" style="margin-right:0.03588em;">y</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mbin">+</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mord"><span class="mord mathit">c</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.30110799999999993em;"><span style="top:-2.5500000000000003em;margin-left:0em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">3</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"></span></span></span></span></span><span class="mord mathit" style="margin-right:0.04398em;">z</span><span class="mord rule" style="margin-right:0.2777777777777778em;"></span><span class="mrel">=</span><span class="mord rule" style="margin-right:0.2777777777777778em;"></span><span class="mord"><span class="mord mathit">d</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.30110799999999993em;"><span style="top:-2.5500000000000003em;margin-left:0em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">3</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"></span></span></span></span></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:1.5500000000000007em;"></span></span></span></span><span class="arraycolsep" style="width:0.5em;"></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span></li>
</ul>
<p>或者使用条件表达式组 <code>\begin{cases}…\end{cases}</code> 来实现相同效果：</p>
<ul>
<li>例子：</li>
</ul>
<pre data-role="codeBlock" data-info="" class="language-"><code>\begin{cases}
a_1x+b_1y+c_1z=d_1 \\ 
a_2x+b_2y+c_2z=d_2 \\ 
a_3x+b_3y+c_3z=d_3
\end{cases}
</code></pre><ul>
<li>显示：<br>
\begin{cases}<br>
a_1x+b_1y+c_1z=d_1 \<br>
a_2x+b_2y+c_2z=d_2 \<br>
a_3x+b_3y+c_3z=d_3<br>
\end{cases}</li>
</ul>
<h1 class="mume-header" id="%E5%85%AD-%E8%BF%9E%E5%88%86%E6%95%B0%E4%BD%BF%E7%94%A8%E5%8F%82%E8%80%83">六、连分数使用参考</h1>

<h2 class="mume-header" id="1%E5%A6%82%E4%BD%95%E8%BE%93%E5%85%A5%E4%B8%80%E4%B8%AA%E8%BF%9E%E5%88%86%E5%BC%8F">1．如何输入一个连分式</h2>

<p>就像输入分式时使用 <code>\frac</code> 一样，使用 <code>\cfrac</code> 来创建一个连分数。</p>
<ul>
<li>例子：</li>
</ul>
<pre data-role="codeBlock" data-info="" class="language-"><code>$$
x = a_0 + \cfrac{1^2}{a_1
          + \cfrac{2^2}{a_2
          + \cfrac{3^2}{a_3 + \cfrac{4^4}{a_4 + \cdots}}}}
$$
</code></pre><ul>
<li>显示：<br>
<span style="color: #ee7f49; font-weight: 500;">ParseError: KaTeX parse error: Expected 'EOF', got '\cfrac' at position 11: x = a_0 + \̲c̲f̲r̲a̲c̲{1^2}{a_1
     …</span></li>
</ul>
<p>不要使用普通的 <code>\frac</code> 或 <code>\over</code> 来创建，否则会看起来 <strong>很恶心</strong> 。</p>
<ul>
<li>反例：</li>
</ul>
<pre data-role="codeBlock" data-info="" class="language-"><code>$$
x = a_0 + \frac{1^2}{a_1
          + \frac{2^2}{a_2
          + \frac{3^2}{a_3 + \frac{4^4}{a_4 + \cdots}}}}
$$
</code></pre><ul>
<li>显示：<br>
<span class="katex-display"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi>x</mi><mo>=</mo><msub><mi>a</mi><mn>0</mn></msub><mo>+</mo><mfrac><mrow><msup><mn>1</mn><mn>2</mn></msup></mrow><mrow><msub><mi>a</mi><mn>1</mn></msub><mo>+</mo><mfrac><mrow><msup><mn>2</mn><mn>2</mn></msup></mrow><mrow><msub><mi>a</mi><mn>2</mn></msub><mo>+</mo><mfrac><mrow><msup><mn>3</mn><mn>2</mn></msup></mrow><mrow><msub><mi>a</mi><mn>3</mn></msub><mo>+</mo><mfrac><mrow><msup><mn>4</mn><mn>4</mn></msup></mrow><mrow><msub><mi>a</mi><mn>4</mn></msub><mo>+</mo><mo>⋯</mo></mrow></mfrac></mrow></mfrac></mrow></mfrac></mrow></mfrac></mrow><annotation encoding="application/x-tex">x = a_0 + \frac{1^2}{a_1
        + \frac{2^2}{a_2
        + \frac{3^2}{a_3 + \frac{4^4}{a_4 + \cdots}}}}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:1.491108em;"></span><span class="strut bottom" style="height:3.800538em;vertical-align:-2.30943em;"></span><span class="base"><span class="mord mathit">x</span><span class="mord rule" style="margin-right:0.2777777777777778em;"></span><span class="mrel">=</span><span class="mord rule" style="margin-right:0.2777777777777778em;"></span><span class="mord"><span class="mord mathit">a</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.30110799999999993em;"><span style="top:-2.5500000000000003em;margin-left:0em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">0</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"></span></span></span></span></span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mbin">+</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.491108em;"><span style="top:-2.19358em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord"><span class="mord mathit">a</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.30110799999999993em;"><span style="top:-2.5500000000000003em;margin-left:0em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">1</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"></span></span></span></span></span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mbin">+</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.91642em;"><span style="top:-2.4519800000000003em;"><span class="pstrut" style="height:3em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight"><span class="mord mathit mtight">a</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.31731428571428577em;"><span style="top:-2.357em;margin-left:0em;margin-right:0.07142857142857144em;"><span class="pstrut" style="height:2.5em;"></span><span class="sizing reset-size3 size1 mtight"><span class="mord mtight">2</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.143em;"></span></span></span></span></span><span class="mbin mtight">+</span><span class="mord mtight"><span class="mopen nulldelimiter sizing reset-size3 size6"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.0543142857142858em;"><span style="top:-2.2297571428571428em;"><span class="pstrut" style="height:3em;"></span><span class="sizing reset-size3 size1 mtight"><span class="mord mtight"><span class="mord mtight"><span class="mord mathit mtight">a</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.3448em;"><span style="top:-2.3447999999999998em;margin-left:0em;margin-right:0.1em;"><span class="pstrut" style="height:2.64444em;"></span><span class="mord mtight">3</span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.29964em;"></span></span></span></span></span><span class="mbin mtight">+</span><span class="mord mtight"><span class="mopen nulldelimiter sizing reset-size1 size6"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.32544em;"><span style="top:-2.468em;"><span class="pstrut" style="height:3em;"></span><span class="mord mtight"><span class="mord mtight"><span class="mord mathit mtight">a</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.3448em;"><span style="top:-2.3447999999999998em;margin-left:0em;margin-right:0.1em;"><span class="pstrut" style="height:2.64444em;"></span><span class="mord mtight">4</span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.29964em;"></span></span></span></span></span><span class="mbin mtight">+</span><span class="minner mtight">⋯</span></span></span><span style="top:-3.1275em;"><span class="pstrut" style="height:3em;"></span><span class="stretchy mtight" style="height:0.245em;"><svg width="400em" height="0.245em" viewBox="0 0 400000 200" preserveAspectRatio="xMinYMin slice"><path d="M0 80H400000 v40H0z M0 80H400000 v40H0z"></path></svg></span></span><span style="top:-3.387em;"><span class="pstrut" style="height:3em;"></span><span class="mord mtight"><span class="mord mtight"><span class="mord mtight">4</span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.9384399999999999em;"><span style="top:-2.93844em;margin-right:0.1em;"><span class="pstrut" style="height:2.64444em;"></span><span class="mord mtight">4</span></span></span></span></span></span></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.83164em;"></span></span></span></span><span class="mclose nulldelimiter sizing reset-size1 size6"></span></span></span></span></span><span style="top:-3.1275em;"><span class="pstrut" style="height:3em;"></span><span class="stretchy mtight" style="height:0.245em;"><svg width="400em" height="0.245em" viewBox="0 0 400000 200" preserveAspectRatio="xMinYMin slice"><path d="M0 80H400000 v40H0z M0 80H400000 v40H0z"></path></svg></span></span><span style="top:-3.384em;"><span class="pstrut" style="height:3em;"></span><span class="sizing reset-size3 size1 mtight"><span class="mord mtight"><span class="mord mtight"><span class="mord mtight">3</span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.9384399999999999em;"><span style="top:-2.93844em;margin-right:0.1em;"><span class="pstrut" style="height:2.64444em;"></span><span class="mord mtight">2</span></span></span></span></span></span></span></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:1.3642714285714286em;"></span></span></span></span><span class="mclose nulldelimiter sizing reset-size3 size6"></span></span></span></span></span><span style="top:-3.15em;"><span class="pstrut" style="height:3em;"></span><span class="stretchy" style="height:0.2em;"><svg width="400em" height="0.2em" viewBox="0 0 400000 200" preserveAspectRatio="xMinYMin slice"><path d="M0 80H400000 v40H0z M0 80H400000 v40H0z"></path></svg></span></span><span style="top:-3.394em;"><span class="pstrut" style="height:3em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight"><span class="mord mtight">2</span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.7463142857142857em;"><span style="top:-2.786em;margin-right:0.07142857142857144em;"><span class="pstrut" style="height:2.5em;"></span><span class="sizing reset-size3 size1 mtight"><span class="mord mtight">2</span></span></span></span></span></span></span></span></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:1.5030099999999997em;"></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span><span style="top:-3.15em;"><span class="pstrut" style="height:3em;"></span><span class="stretchy" style="height:0.2em;"><svg width="400em" height="0.2em" viewBox="0 0 400000 200" preserveAspectRatio="xMinYMin slice"><path d="M0 80H400000 v40H0z M0 80H400000 v40H0z"></path></svg></span></span><span style="top:-3.677em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord"><span class="mord">1</span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.8141079999999999em;"><span style="top:-3.063em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">2</span></span></span></span></span></span></span></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:2.30943em;"></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span></span></li>
</ul>
<p>当然，你可以使用 <code>\frac</code> 来表达连分数的 <strong>紧缩记法</strong> 。</p>
<ul>
<li>例子：</li>
</ul>
<pre data-role="codeBlock" data-info="" class="language-"><code>$$
x = a_0 + \frac{1^2}{a_1+}
          \frac{2^2}{a_2+}
          \frac{3^2}{a_3 +} \frac{4^4}{a_4 +} \cdots
$$
</code></pre><ul>
<li>显示：<br>
<span class="katex-display"><span class="katex"><span class="katex-mathml"><math><semantics><mrow><mi>x</mi><mo>=</mo><msub><mi>a</mi><mn>0</mn></msub><mo>+</mo><mfrac><mrow><msup><mn>1</mn><mn>2</mn></msup></mrow><mrow><msub><mi>a</mi><mn>1</mn></msub><mo>+</mo></mrow></mfrac><mfrac><mrow><msup><mn>2</mn><mn>2</mn></msup></mrow><mrow><msub><mi>a</mi><mn>2</mn></msub><mo>+</mo></mrow></mfrac><mfrac><mrow><msup><mn>3</mn><mn>2</mn></msup></mrow><mrow><msub><mi>a</mi><mn>3</mn></msub><mo>+</mo></mrow></mfrac><mfrac><mrow><msup><mn>4</mn><mn>4</mn></msup></mrow><mrow><msub><mi>a</mi><mn>4</mn></msub><mo>+</mo></mrow></mfrac><mo>⋯</mo></mrow><annotation encoding="application/x-tex">x = a_0 + \frac{1^2}{a_1+}
        \frac{2^2}{a_2+}
        \frac{3^2}{a_3 +} \frac{4^4}{a_4 +} \cdots</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:1.491108em;"></span><span class="strut bottom" style="height:2.327108em;vertical-align:-0.8360000000000001em;"></span><span class="base"><span class="mord mathit">x</span><span class="mord rule" style="margin-right:0.2777777777777778em;"></span><span class="mrel">=</span><span class="mord rule" style="margin-right:0.2777777777777778em;"></span><span class="mord"><span class="mord mathit">a</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.30110799999999993em;"><span style="top:-2.5500000000000003em;margin-left:0em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">0</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"></span></span></span></span></span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mbin">+</span><span class="mord rule" style="margin-right:0.2222222222222222em;"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.491108em;"><span style="top:-2.3139999999999996em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord"><span class="mord mathit">a</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.30110799999999993em;"><span style="top:-2.5500000000000003em;margin-left:0em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">1</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"></span></span></span></span></span><span class="mord">+</span></span></span><span style="top:-3.15em;"><span class="pstrut" style="height:3em;"></span><span class="stretchy" style="height:0.2em;"><svg width="400em" height="0.2em" viewBox="0 0 400000 200" preserveAspectRatio="xMinYMin slice"><path d="M0 80H400000 v40H0z M0 80H400000 v40H0z"></path></svg></span></span><span style="top:-3.677em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord"><span class="mord">1</span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.8141079999999999em;"><span style="top:-3.063em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">2</span></span></span></span></span></span></span></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.8360000000000001em;"></span></span></span></span><span class="mclose nulldelimiter"></span></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.491108em;"><span style="top:-2.3139999999999996em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord"><span class="mord mathit">a</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.30110799999999993em;"><span style="top:-2.5500000000000003em;margin-left:0em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">2</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"></span></span></span></span></span><span class="mord">+</span></span></span><span style="top:-3.15em;"><span class="pstrut" style="height:3em;"></span><span class="stretchy" style="height:0.2em;"><svg width="400em" height="0.2em" viewBox="0 0 400000 200" preserveAspectRatio="xMinYMin slice"><path d="M0 80H400000 v40H0z M0 80H400000 v40H0z"></path></svg></span></span><span style="top:-3.677em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord"><span class="mord">2</span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.8141079999999999em;"><span style="top:-3.063em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">2</span></span></span></span></span></span></span></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.8360000000000001em;"></span></span></span></span><span class="mclose nulldelimiter"></span></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.491108em;"><span style="top:-2.3139999999999996em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord"><span class="mord mathit">a</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.30110799999999993em;"><span style="top:-2.5500000000000003em;margin-left:0em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">3</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"></span></span></span></span></span><span class="mord">+</span></span></span><span style="top:-3.15em;"><span class="pstrut" style="height:3em;"></span><span class="stretchy" style="height:0.2em;"><svg width="400em" height="0.2em" viewBox="0 0 400000 200" preserveAspectRatio="xMinYMin slice"><path d="M0 80H400000 v40H0z M0 80H400000 v40H0z"></path></svg></span></span><span style="top:-3.677em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord"><span class="mord">3</span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.8141079999999999em;"><span style="top:-3.063em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">2</span></span></span></span></span></span></span></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.8360000000000001em;"></span></span></span></span><span class="mclose nulldelimiter"></span></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.491108em;"><span style="top:-2.3139999999999996em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord"><span class="mord mathit">a</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.30110799999999993em;"><span style="top:-2.5500000000000003em;margin-left:0em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">4</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"></span></span></span></span></span><span class="mord">+</span></span></span><span style="top:-3.15em;"><span class="pstrut" style="height:3em;"></span><span class="stretchy" style="height:0.2em;"><svg width="400em" height="0.2em" viewBox="0 0 400000 200" preserveAspectRatio="xMinYMin slice"><path d="M0 80H400000 v40H0z M0 80H400000 v40H0z"></path></svg></span></span><span style="top:-3.677em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord"><span class="mord">4</span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:0.8141079999999999em;"><span style="top:-3.063em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">4</span></span></span></span></span></span></span></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.8360000000000001em;"></span></span></span></span><span class="mclose nulldelimiter"></span></span><span class="mord rule" style="margin-right:0.16666666666666666em;"></span><span class="minner">⋯</span></span></span></span></span></li>
</ul>
<p>连分数通常都太大以至于不易排版，所以建议在连分数前后声明 <code>$$</code> 符号，或使用像 <code>[a0;a1,a2,a3,…]</code> 一样的紧缩记法。</p>
<h1 class="mume-header" id="%E4%B8%83-%E4%BA%A4%E6%8D%A2%E5%9B%BE%E8%A1%A8%E4%BD%BF%E7%94%A8%E5%8F%82%E8%80%83">七、交换图表使用参考</h1>

<h2 class="mume-header" id="1%E5%A6%82%E4%BD%95%E8%BE%93%E5%85%A5%E4%B8%80%E4%B8%AA%E4%BA%A4%E6%8D%A2%E5%9B%BE%E8%A1%A8">1．如何输入一个交换图表</h2>

<p>使用一行 <code>$ \require{AMScd} $</code> 语句来允许交换图表的显示。<br>
声明交换图表后，语法与矩阵相似，在开头使用 <code>begin{CD}</code>，在结尾使用 <code>end{CD}</code>，在中间插入图表元素，每个元素之间插入 <code>&amp;</code> ，并在每行结尾处使用 <code>\\</code> 。</p>
<ul>
<li>例子：</li>
</ul>
<pre data-role="codeBlock" data-info="" class="language-"><code>$\require{AMScd}$
\begin{CD}
    A @&gt;a&gt;&gt; B\\
    @V b V V\# @VV c V\\
    C @&gt;&gt;d&gt; D
\end{CD}
</code></pre><ul>
<li>显示：<br>
<span style="color: #ee7f49; font-weight: 500;">ParseError: KaTeX parse error: Expected 'EOF', got '\require' at position 1: \̲r̲e̲q̲u̲i̲r̲e̲{AMScd}</span><br>
\begin{CD}<br>
A @&gt;a&gt;&gt; B\<br>
@V b V V# @VV c V\<br>
C @&gt;&gt;d&gt; D<br>
\end{CD}</li>
</ul>
<p>其中，<code>@&gt;&gt;&gt;</code> 代表右箭头、<code>@&lt;&lt;&lt;</code> 代表左箭头、<code>@VVV</code> 代表下箭头、<code>@AAA</code> 代表上箭头、<code>@=</code> 代表水平双实线、<code>@|</code> 代表竖直双实线、<code>@.</code>代表没有箭头。<br>
在 <code>@&gt;&gt;&gt;</code> 的 <code>&gt;&gt;&gt;</code> 之间任意插入文字即代表该箭头的注释文字。</p>
<ul>
<li>例子：</li>
</ul>
<pre data-role="codeBlock" data-info="" class="language-"><code>\begin{CD}
    A @&gt;&gt;&gt; B @&gt;{\text{very long label}}&gt;&gt; C \\
    @. @AAA @| \\
    D @= E @&lt;&lt;&lt; F
\end{CD}
</code></pre><ul>
<li>显示：<br>
\begin{CD}<br>
A @&gt;&gt;&gt; B @&gt;{\text{very long label}}&gt;&gt; C \<br>
@. @AAA @| \<br>
D @= E @&lt;&lt;&lt; F<br>
\end{CD}</li>
</ul>
<p>在本例中， &quot;very long label&quot;自动延长了它所在箭头以及对应箭头的长度。</p>
<h1 class="mume-header" id="%E5%85%AB-%E4%B8%80%E4%BA%9B%E7%89%B9%E6%AE%8A%E7%9A%84%E6%B3%A8%E6%84%8F%E4%BA%8B%E9%A1%B9">八、一些特殊的注意事项</h1>

<table>
<thead>
<tr>
<th style="text-align:center"><strong>!! 本段内容为个人翻译，可能有不准确之处 !!</strong></th>
</tr>
</thead>
<tbody></tbody>
</table>
<p>These are issues that won't affect the correctness of formulas, but might make them look significantly better or worse. Beginners should feel free to ignore this advice; someone else will correct it for them, or more likely nobody will care.</p>
<p>现在指出的小问题并不会影响方程式及公式等的正确显示，但能让它们看起来明显更好看。初学者可无视这些建议，自然会有强迫症患者替你们改掉它的，或者更可能地，根本没人发现这些问题。</p>
<p>Don't use <code>\frac</code> in exponents or limits of integrals; it looks bad and can be confusing, which is why it is rarely done in professional mathematical typesetting. Write the fraction horizontally, with a slash:</p>
<p>在以e为底的指数函数、极限和积分中尽量不要使用 <code>\frac</code> 符号：它会使整段函数看起来很怪，而且可能产生歧义。也正是因此它在专业数学排版中几乎从不出现。<br>
横着写这些分式，中间使用斜线间隔 <code>/</code> （用斜线代替分数线）。</p>
<ul>
<li>例子：</li>
</ul>
<pre data-role="codeBlock" data-info="" class="language-"><code>\begin{array}{cc}
\mathrm{Bad} &amp; \mathrm{Better} \\
\hline \\
e^{i\frac{\pi}2} \quad e^{\frac{i\pi}2}&amp; e^{i\pi/2} \\
\int_{-\frac\pi2}^\frac\pi2 \sin x\,dx &amp; \int_{-\pi/2}^{\pi/2}\sin x\,dx \\
\end{array}
</code></pre><ul>
<li>显示：<br>
\begin{array}{cc}<br>
\mathrm{Bad} &amp; \mathrm{Better} \<br>
\hline \<br>
e^{i\frac{\pi}2} \quad e^{\frac{i\pi}2}&amp; e^{i\pi/2} \<br>
\int_{-\frac\pi2}^\frac\pi2 \sin x,dx &amp; \int_{-\pi/2}^{\pi/2}\sin x,dx \<br>
\end{array}</li>
</ul>
<p>The <code>|</code> symbol has the wrong spacing when it is used as a divider, for example in set comprehensions. Use <code>\mid</code> instead:</p>
<p><code>|</code> 符号在被当作分隔符时会产生错误的间隔，因此在需要分隔时最好使用 <code>\mid</code> 来代替它。</p>
<ul>
<li>例子:</li>
</ul>
<pre data-role="codeBlock" data-info="" class="language-"><code>\begin{array}{cc}
\mathrm{Bad} &amp; \mathrm{Better} \\
\hline \\
\{x|x^2\in\Bbb Z\} &amp; \{x\mid x^2\in\Bbb Z\} \\
\end{array}
</code></pre><ul>
<li>显示：<br>
\begin{array}{cc}<br>
\mathrm{Bad} &amp; \mathrm{Better} \<br>
\hline \<br>
{x|x^2\in\Bbb Z} &amp; {x\mid x^2\in\Bbb Z} \<br>
\end{array}</li>
</ul>
<p>For double and triple integrals, don't use <code>\int\int</code> or <code>\int\int\int</code>. Instead use the special forms <code>\iint</code> and <code>\iiint</code>:</p>
<p>使用多重积分符号时，不要多次使用 <code>\int</code> 来声明，直接使用 <code>\iint</code> 来表示 <strong>二重积分</strong> ，使用 <code>\iiint</code> 来表示 <strong>三重积分</strong> 等。对于无限次积分，可以用 <code>\int \cdots \int</code> 表示。</p>
<ul>
<li>例子：</li>
</ul>
<pre data-role="codeBlock" data-info="" class="language-"><code>\begin{array}{cc}
\mathrm{Bad} &amp; \mathrm{Better} \\
\hline \\
\int\int_S f(x)\,dy\,dx &amp; \iint_S f(x)\,dy\,dx \\
\int\int\int_V f(x)\,dz\,dy\,dx &amp; \iiint_V f(x)\,dz\,dy\,dx
\end{array}
</code></pre><ul>
<li>显示：<br>
\begin{array}{cc}<br>
\mathrm{Bad} &amp; \mathrm{Better} \<br>
\hline \<br>
\int\int_S f(x),dy,dx &amp; \iint_S f(x),dy,dx \<br>
\int\int\int_V f(x),dz,dy,dx &amp; \iiint_V f(x),dz,dy,dx<br>
\end{array}</li>
</ul>
<p><span style="color: #ee7f49; font-weight: 500;">ParseError: KaTeX parse error: Expected 'EOF', got '无' at position 1: 无̲限次积分：\int \cdot…</span></p>
<p>Use <code>\,</code>, to insert a thin space before differentials; without this <span class="katex"><span class="katex-mathml"><math><semantics><mrow><mrow><mtext>TX</mtext><mspace width="-0.1667em"></mspace><mpadded voffset="-0.5ex"><mrow><mtext>E</mtext></mrow></mpadded><mspace width="-0.125em"></mspace></mrow></mrow><annotation encoding="application/x-tex">\TeX</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.68333em;"></span><span class="strut bottom" style="height:0.89883em;vertical-align:-0.2155em;"></span><span class="base"><span class="mord text"><span class="mord textrm">T</span><span class="mord rule" style="margin-right:-0.1667em;"></span><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.46782999999999997em;"><span style="top:-2.7845em;"><span class="pstrut" style="height:3em;"></span><span class="mord text"><span class="mord textrm">E</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.2155em;"></span></span></span><span class="mord rule" style="margin-right:-0.125em;"></span><span class="mord textrm">X</span></span></span></span></span> will mash them together:</p>
<p>在微分符号前加入 <code>\,</code> 来插入一个小的间隔空隙；没有 <code>\,</code> 符号的话，<span class="katex"><span class="katex-mathml"><math><semantics><mrow><mrow><mtext>TX</mtext><mspace width="-0.1667em"></mspace><mpadded voffset="-0.5ex"><mrow><mtext>E</mtext></mrow></mpadded><mspace width="-0.125em"></mspace></mrow></mrow><annotation encoding="application/x-tex">\TeX</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="strut" style="height:0.68333em;"></span><span class="strut bottom" style="height:0.89883em;vertical-align:-0.2155em;"></span><span class="base"><span class="mord text"><span class="mord textrm">T</span><span class="mord rule" style="margin-right:-0.1667em;"></span><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.46782999999999997em;"><span style="top:-2.7845em;"><span class="pstrut" style="height:3em;"></span><span class="mord text"><span class="mord textrm">E</span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.2155em;"></span></span></span><span class="mord rule" style="margin-right:-0.125em;"></span><span class="mord textrm">X</span></span></span></span></span> 将会把不同的微分符号堆在一起。</p>
<ul>
<li>例子：</li>
</ul>
<pre data-role="codeBlock" data-info="" class="language-"><code>\begin{array}{cc}
\mathrm{Bad} &amp; \mathrm{Better} \\
\hline \\
\iiint_V f(x){\rm d}z {\rm d}y {\rm d}x &amp; \iiint_V f(x)\,{\rm d}z\,{\rm d}y\,{\rm d}x
\end{array}
</code></pre><ul>
<li>显示：<br>
\begin{array}{cc}<br>
\mathrm{Bad} &amp; \mathrm{Better} \<br>
\hline \<br>
\iiint_V f(x){\rm d}z {\rm d}y {\rm d}x &amp; \iiint_V f(x),{\rm d}z,{\rm d}y,{\rm d}x<br>
\end{array}</li>
</ul>
<hr>
<p>感谢您花费时间阅读这份指导手册，本手册内容可能有疏漏之处，欢迎更改指正。<br>
更多语法请参见：<a href="https://www.zybuluo.com/mdeditor?url=https://www.zybuluo.com/static/editor/md-help.markdown">Cmd Markdown 简明语法手册</a>，<a href="https://www.zybuluo.com/mdeditor?url=https://www.zybuluo.com/static/editor/md-help.markdown#cmd-markdown-%E9%AB%98%E9%98%B6%E8%AF%AD%E6%B3%95%E6%89%8B%E5%86%8C">Cmd Markdown 高阶语法手册</a>。<br>
祝您记录、阅读、分享愉快！</p>
<p>Drafted &amp; Translated by <a href="https://ericp.cn/">Eric P.</a><br>
2015-10-02</p>

      </div>
      <div class="md-sidebar-toc"><ul>
<li><a href="#cmd-markdown-%E5%85%AC%E5%BC%8F%E6%8C%87%E5%AF%BC%E6%89%8B%E5%86%8C">Cmd Markdown 公式指导手册</a></li>
<li><a href="#%E4%B8%80-%E5%85%AC%E5%BC%8F%E4%BD%BF%E7%94%A8%E5%8F%82%E8%80%83">一、公式使用参考</a>
<ul>
<li><a href="#1%E5%A6%82%E4%BD%95%E6%8F%92%E5%85%A5%E5%85%AC%E5%BC%8F">1．如何插入公式</a></li>
<li><a href="#2%E5%A6%82%E4%BD%95%E8%BE%93%E5%85%A5%E4%B8%8A%E4%B8%8B%E6%A0%87">2．如何输入上下标</a></li>
<li><a href="#3%E5%A6%82%E4%BD%95%E8%BE%93%E5%85%A5%E6%8B%AC%E5%8F%B7%E5%92%8C%E5%88%86%E9%9A%94%E7%AC%A6">3．如何输入括号和分隔符</a></li>
<li><a href="#4%E5%A6%82%E4%BD%95%E8%BE%93%E5%85%A5%E5%88%86%E6%95%B0">4．如何输入分数</a></li>
<li><a href="#5%E5%A6%82%E4%BD%95%E8%BE%93%E5%85%A5%E5%BC%80%E6%96%B9">5．如何输入开方</a></li>
<li><a href="#6%E5%A6%82%E4%BD%95%E8%BE%93%E5%85%A5%E7%9C%81%E7%95%A5%E5%8F%B7">6．如何输入省略号</a></li>
<li><a href="#7%E5%A6%82%E4%BD%95%E8%BE%93%E5%85%A5%E7%9F%A2%E9%87%8F">7．如何输入矢量</a></li>
<li><a href="#8%E5%A6%82%E4%BD%95%E8%BE%93%E5%85%A5%E7%A7%AF%E5%88%86">8．如何输入积分</a></li>
<li><a href="#9%E5%A6%82%E4%BD%95%E8%BE%93%E5%85%A5%E6%9E%81%E9%99%90%E8%BF%90%E7%AE%97">9．如何输入极限运算</a></li>
<li><a href="#10%E5%A6%82%E4%BD%95%E8%BE%93%E5%85%A5%E7%B4%AF%E5%8A%A0-%E7%B4%AF%E4%B9%98%E8%BF%90%E7%AE%97">10．如何输入累加、累乘运算</a></li>
<li><a href="#11%E5%A6%82%E4%BD%95%E8%BE%93%E5%85%A5%E5%B8%8C%E8%85%8A%E5%AD%97%E6%AF%8D">11．如何输入希腊字母</a></li>
<li><a href="#12%E5%A6%82%E4%BD%95%E8%BE%93%E5%85%A5%E5%85%B6%E5%AE%83%E7%89%B9%E6%AE%8A%E5%AD%97%E7%AC%A6">12．如何输入其它特殊字符</a>
<ul>
<li><a href="#1%E5%85%B3%E7%B3%BB%E8%BF%90%E7%AE%97%E7%AC%A6">(1)．关系运算符</a></li>
<li><a href="#2%E9%9B%86%E5%90%88%E8%BF%90%E7%AE%97%E7%AC%A6">(2)．集合运算符</a></li>
<li><a href="#3%E5%AF%B9%E6%95%B0%E8%BF%90%E7%AE%97%E7%AC%A6">(3)．对数运算符</a></li>
<li><a href="#4%E4%B8%89%E8%A7%92%E8%BF%90%E7%AE%97%E7%AC%A6">(4)．三角运算符</a></li>
<li><a href="#5%E5%BE%AE%E7%A7%AF%E5%88%86%E8%BF%90%E7%AE%97%E7%AC%A6">(5)．微积分运算符</a></li>
<li><a href="#6%E9%80%BB%E8%BE%91%E8%BF%90%E7%AE%97%E7%AC%A6">(6)．逻辑运算符</a></li>
<li><a href="#7%E6%88%B4%E5%B8%BD%E7%AC%A6%E5%8F%B7">(7)．戴帽符号</a></li>
<li><a href="#8%E8%BF%9E%E7%BA%BF%E7%AC%A6%E5%8F%B7">(8)．连线符号</a></li>
<li><a href="#9%E7%AE%AD%E5%A4%B4%E7%AC%A6%E5%8F%B7">(9)．箭头符号</a></li>
</ul>
</li>
<li><a href="#13%E5%A6%82%E4%BD%95%E8%BF%9B%E8%A1%8C%E5%AD%97%E4%BD%93%E8%BD%AC%E6%8D%A2">13．如何进行字体转换</a></li>
<li><a href="#14%E5%A4%A7%E6%8B%AC%E5%8F%B7%E5%92%8C%E8%A1%8C%E6%A0%87%E7%9A%84%E4%BD%BF%E7%94%A8">14．大括号和行标的使用</a></li>
<li><a href="#15%E5%85%B6%E5%AE%83%E5%91%BD%E4%BB%A4">15．其它命令</a>
<ul>
<li><a href="#1%E5%AE%9A%E4%B9%89%E6%96%B0%E7%9A%84%E7%AC%A6%E5%8F%B7-operatorname">(1)．定义新的符号 \operatorname</a></li>
<li><a href="#2%E6%B7%BB%E5%8A%A0%E6%B3%A8%E9%87%8A%E6%96%87%E5%AD%97-text">(2)．添加注释文字 \text</a></li>
<li><a href="#3%E5%9C%A8%E5%AD%97%E7%AC%A6%E9%97%B4%E5%8A%A0%E5%85%A5%E7%A9%BA%E6%A0%BC">(3)．在字符间加入空格</a></li>
<li><a href="#4%E6%9B%B4%E6%94%B9%E6%96%87%E5%AD%97%E9%A2%9C%E8%89%B2">(4)．更改文字颜色</a></li>
<li><a href="#5%E6%B7%BB%E5%8A%A0%E5%88%A0%E9%99%A4%E7%BA%BF">(5)．添加删除线</a></li>
</ul>
</li>
</ul>
</li>
<li><a href="#%E4%BA%8C-%E7%9F%A9%E9%98%B5%E4%BD%BF%E7%94%A8%E5%8F%82%E8%80%83">二、矩阵使用参考</a>
<ul>
<li><a href="#1%E5%A6%82%E4%BD%95%E8%BE%93%E5%85%A5%E6%97%A0%E6%A1%86%E7%9F%A9%E9%98%B5">1．如何输入无框矩阵</a></li>
<li><a href="#2%E5%A6%82%E4%BD%95%E8%BE%93%E5%85%A5%E8%BE%B9%E6%A1%86%E7%9F%A9%E9%98%B5">2．如何输入边框矩阵</a></li>
<li><a href="#3%E5%A6%82%E4%BD%95%E8%BE%93%E5%85%A5%E5%B8%A6%E7%9C%81%E7%95%A5%E7%AC%A6%E5%8F%B7%E7%9A%84%E7%9F%A9%E9%98%B5">3．如何输入带省略符号的矩阵</a></li>
<li><a href="#4%E5%A6%82%E4%BD%95%E8%BE%93%E5%85%A5%E5%B8%A6%E5%88%86%E5%89%B2%E7%AC%A6%E5%8F%B7%E7%9A%84%E7%9F%A9%E9%98%B5">4．如何输入带分割符号的矩阵</a></li>
<li><a href="#5%E5%A6%82%E4%BD%95%E8%BE%93%E5%85%A5%E8%A1%8C%E4%B8%AD%E7%9F%A9%E9%98%B5">5．如何输入行中矩阵</a></li>
</ul>
</li>
<li><a href="#%E4%B8%89-%E6%96%B9%E7%A8%8B%E5%BC%8F%E5%BA%8F%E5%88%97%E4%BD%BF%E7%94%A8%E5%8F%82%E8%80%83">三、方程式序列使用参考</a>
<ul>
<li><a href="#1%E5%A6%82%E4%BD%95%E8%BE%93%E5%85%A5%E4%B8%80%E4%B8%AA%E6%96%B9%E7%A8%8B%E5%BC%8F%E5%BA%8F%E5%88%97">1．如何输入一个方程式序列</a></li>
<li><a href="#2%E5%9C%A8%E4%B8%80%E4%B8%AA%E6%96%B9%E7%A8%8B%E5%BC%8F%E5%BA%8F%E5%88%97%E7%9A%84%E6%AF%8F%E4%B8%80%E8%A1%8C%E4%B8%AD%E6%B3%A8%E6%98%8E%E5%8E%9F%E5%9B%A0">2．在一个方程式序列的每一行中注明原因</a></li>
</ul>
</li>
<li><a href="#%E5%9B%9B-%E6%9D%A1%E4%BB%B6%E8%A1%A8%E8%BE%BE%E5%BC%8F%E4%BD%BF%E7%94%A8%E5%8F%82%E8%80%83">四、条件表达式使用参考</a>
<ul>
<li><a href="#1%E5%A6%82%E4%BD%95%E8%BE%93%E5%85%A5%E4%B8%80%E4%B8%AA%E6%9D%A1%E4%BB%B6%E8%A1%A8%E8%BE%BE%E5%BC%8F">1．如何输入一个条件表达式</a></li>
<li><a href="#2%E5%A6%82%E4%BD%95%E8%BE%93%E5%85%A5%E4%B8%80%E4%B8%AA%E5%B7%A6%E4%BE%A7%E5%AF%B9%E9%BD%90%E7%9A%84%E6%9D%A1%E4%BB%B6%E8%A1%A8%E8%BE%BE%E5%BC%8F">2．如何输入一个左侧对齐的条件表达式</a></li>
<li><a href="#3%E5%A6%82%E4%BD%95%E4%BD%BF%E6%9D%A1%E4%BB%B6%E8%A1%A8%E8%BE%BE%E5%BC%8F%E9%80%82%E9%85%8D%E8%A1%8C%E9%AB%98">3．如何使条件表达式适配行高</a></li>
</ul>
</li>
<li><a href="#%E4%BA%94-%E6%95%B0%E7%BB%84%E4%B8%8E%E8%A1%A8%E6%A0%BC%E4%BD%BF%E7%94%A8%E5%8F%82%E8%80%83">五、数组与表格使用参考</a>
<ul>
<li><a href="#1%E5%A6%82%E4%BD%95%E8%BE%93%E5%85%A5%E4%B8%80%E4%B8%AA%E6%95%B0%E7%BB%84%E6%88%96%E8%A1%A8%E6%A0%BC">1．如何输入一个数组或表格</a></li>
<li><a href="#2%E5%A6%82%E4%BD%95%E8%BE%93%E5%85%A5%E4%B8%80%E4%B8%AA%E5%B5%8C%E5%A5%97%E7%9A%84%E6%95%B0%E7%BB%84%E6%88%96%E8%A1%A8%E6%A0%BC">2．如何输入一个嵌套的数组或表格</a></li>
<li><a href="#3%E5%A6%82%E4%BD%95%E8%BE%93%E5%85%A5%E4%B8%80%E4%B8%AA%E6%96%B9%E7%A8%8B%E7%BB%84">3．如何输入一个方程组</a></li>
</ul>
</li>
<li><a href="#%E5%85%AD-%E8%BF%9E%E5%88%86%E6%95%B0%E4%BD%BF%E7%94%A8%E5%8F%82%E8%80%83">六、连分数使用参考</a>
<ul>
<li><a href="#1%E5%A6%82%E4%BD%95%E8%BE%93%E5%85%A5%E4%B8%80%E4%B8%AA%E8%BF%9E%E5%88%86%E5%BC%8F">1．如何输入一个连分式</a></li>
</ul>
</li>
<li><a href="#%E4%B8%83-%E4%BA%A4%E6%8D%A2%E5%9B%BE%E8%A1%A8%E4%BD%BF%E7%94%A8%E5%8F%82%E8%80%83">七、交换图表使用参考</a>
<ul>
<li><a href="#1%E5%A6%82%E4%BD%95%E8%BE%93%E5%85%A5%E4%B8%80%E4%B8%AA%E4%BA%A4%E6%8D%A2%E5%9B%BE%E8%A1%A8">1．如何输入一个交换图表</a></li>
</ul>
</li>
<li><a href="#%E5%85%AB-%E4%B8%80%E4%BA%9B%E7%89%B9%E6%AE%8A%E7%9A%84%E6%B3%A8%E6%84%8F%E4%BA%8B%E9%A1%B9">八、一些特殊的注意事项</a></li>
</ul>
</div>
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